685736901120 has 320 divisors, whose sum is σ = 2262332451456. Its totient is φ = 177062215680.

The previous prime is 685736901103. The next prime is 685736901127. The reversal of 685736901120 is 21109637586.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 685736901120.

It is not an unprimeable number, because it can be changed into a prime (685736901127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59952042 + ... + 59963478.

Almost surely, 2^685736901120 is an apocalyptic number.

685736901120 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 685736901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131166225728).

685736901120 is an abundant number, since it is smaller than the sum of its proper divisors (1576595550336).

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

685736901120 is a wasteful number, since it uses less digits than its factorization.

685736901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11711 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 685736901120 in words is "six hundred eighty-five billion, seven hundred thirty-six million, nine hundred one thousand, one hundred twenty".