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670346772480 = 21934571141
BaseRepresentation
bin10011100000100111100…
…10000000000000000000
32101002021121201100210000
421300103302000000000
541440332233204410
61231541505440000
766300550360110
oct11602362000000
92332247640700
10670346772480
112393243059a0
12a9b01940000
134b2a0b9ac78
1424632d67040
1512685b2adc0
hex9c13c80000

670346772480 has 1600 divisors, whose sum is σ = 3069422294400. Its totient is φ = 135895449600.

The previous prime is 670346772419. The next prime is 670346772551. The reversal of 670346772480 is 84277643076.

670346772480 is a `hidden beast` number, since 6 + 7 + 0 + 34 + 67 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16349921260 + ... + 16349921300.

It is an arithmetic number, because the mean of its divisors is an integer number (1918388934).

Almost surely, 2670346772480 is an apocalyptic number.

670346772480 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 670346772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534711147200).

670346772480 is an abundant number, since it is smaller than the sum of its proper divisors (2399075521920).

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

670346772480 is an frugal number, since it uses more digits than its factorization.

670346772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 670346772480 in words is "six hundred seventy billion, three hundred forty-six million, seven hundred seventy-two thousand, four hundred eighty".