70942956864192 has 1008 divisors, whose sum is σ = 254553767500032. Its totient is φ = 19518548797440.

The previous prime is 70942956864187. The next prime is 70942956864229. The reversal of 70942956864192 is 29146865924907.

70942956864192 is a `hidden beast` number, since 7 + 0 + 9 + 42 + 9 + 568 + 6 + 4 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 70942956864192.

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, 2326517298 + ... + 2326547790.

It is an arithmetic number, because the mean of its divisors is an integer number (252533499504).

Almost surely, 2^{70942956864192} is an apocalyptic number.

70942956864192 is a gapful number since it is divisible by the number (72) 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 70942956864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127276883750016).

70942956864192 is an abundant number, since it is smaller than the sum of its proper divisors (183610810635840).

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

70942956864192 is a wasteful number, since it uses less digits than its factorization.

70942956864192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30648 (or 30619 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 70942956864192 in words is "seventy trillion, nine hundred forty-two billion, nine hundred fifty-six million, eight hundred sixty-four thousand, one hundred ninety-two".