70607496960 has 1728 divisors, whose sum is σ = 340417244160. Its totient is φ = 13456834560.

The previous prime is 70607496923. The next prime is 70607497001. The reversal of 70607496960 is 6969470607.

70607496960 is a `hidden beast` number, since 7 + 0 + 60 + 7 + 496 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 70607496897 and 70607496906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 449729202 + ... + 449729358.

It is an arithmetic number, because the mean of its divisors is an integer number (197000720).

Almost surely, 2^70607496960 is an apocalyptic number.

70607496960 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 70607496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170208622080).

70607496960 is an abundant number, since it is smaller than the sum of its proper divisors (269809747200).

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

70607496960 is a wasteful number, since it uses less digits than its factorization.

70607496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 70607496960 in words is "seventy billion, six hundred seven million, four hundred ninety-six thousand, nine hundred sixty".