70644956342688 has 2160 divisors, whose sum is σ = 269309500669440. Its totient is φ = 18096945205248.

The previous prime is 70644956342663. The next prime is 70644956342699. The reversal of 70644956342688 is 88624365944607.

70644956342688 is a `hidden beast` number, since 7 + 0 + 6 + 4 + 495 + 6 + 34 + 26 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 241109065870 + ... + 241109066162.

It is an arithmetic number, because the mean of its divisors is an integer number (124680324384).

Almost surely, 2^{70644956342688} is an apocalyptic number.

70644956342688 is a gapful number since it is divisible by the number (78) 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 70644956342688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134654750334720).

70644956342688 is an abundant number, since it is smaller than the sum of its proper divisors (198664544326752).

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

70644956342688 is a wasteful number, since it uses less digits than its factorization.

70644956342688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 70644956342688 in words is "seventy trillion, six hundred forty-four billion, nine hundred fifty-six million, three hundred forty-two thousand, six hundred eighty-eight".