70866512640 has 1296 divisors, whose sum is σ = 317012675616. Its totient is φ = 14450688000.

The previous prime is 70866512617. The next prime is 70866512669. The reversal of 70866512640 is 4621566807.

70866512640 is a `hidden beast` number, since 70 + 8 + 6 + 6 + 512 + 64 + 0 = 666.

It is a super-2 number, since 2×70866512640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 627137224 + ... + 627137336.

It is an arithmetic number, because the mean of its divisors is an integer number (244608546).

Almost surely, 2^70866512640 is an apocalyptic number.

70866512640 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 70866512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158506337808).

70866512640 is an abundant number, since it is smaller than the sum of its proper divisors (246146162976).

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

70866512640 is a wasteful number, since it uses less digits than its factorization.

70866512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 70866512640 in words is "seventy billion, eight hundred sixty-six million, five hundred twelve thousand, six hundred forty".