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685748896560 = 243857313293
BaseRepresentation
bin10011111101010011101…
…00011100001100110000
32102120001000112100000000
421332221310130030300
542213403204142220
61243010110430000
7100354332306000
oct11765164341460
92376030470000
10685748896560
11244908413762
12b0a9bb02300
134c886b20360
1425294746000
1512c87dc3390
hex9fa9d1c330

685748896560 has 1440 divisors, whose sum is σ = 3013613366400. Its totient is φ = 144191674368.

The previous prime is 685748896549. The next prime is 685748896589. The reversal of 685748896560 is 65698847586.

It is a happy number.

685748896560 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 488 + 96 + 56 + 0 = 666.

685748896560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2340439774 + ... + 2340440066.

It is an arithmetic number, because the mean of its divisors is an integer number (2092787060).

Almost surely, 2685748896560 is an apocalyptic number.

685748896560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685748896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506806683200).

685748896560 is an abundant number, since it is smaller than the sum of its proper divisors (2327864469840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

685748896560 is an equidigital number, since it uses as much as digits as its factorization.

685748896560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 685748896560 in words is "six hundred eighty-five billion, seven hundred forty-eight million, eight hundred ninety-six thousand, five hundred sixty".