70682844960 has 864 divisors, whose sum is σ = 304361209152. Its totient is φ = 14805504000.

The previous prime is 70682844923. The next prime is 70682844977. The reversal of 70682844960 is 6944828607.

70682844960 is a `hidden beast` number, since 70 + 6 + 8 + 2 + 84 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 70682844897 and 70682844906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 230237127 + ... + 230237433.

It is an arithmetic number, because the mean of its divisors is an integer number (352269918).

Almost surely, 2^70682844960 is an apocalyptic number.

70682844960 is a gapful number since it is divisible by the number (70) 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 70682844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152180604576).

70682844960 is an abundant number, since it is smaller than the sum of its proper divisors (233678364192).

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

70682844960 is a wasteful number, since it uses less digits than its factorization.

70682844960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 70682844960 in words is "seventy billion, six hundred eighty-two million, eight hundred forty-four thousand, nine hundred sixty".