70791462095040 has 560 divisors, whose sum is σ = 253058044393440. Its totient is φ = 18862490787840.

The previous prime is 70791462095023. The next prime is 70791462095089. The reversal of 70791462095040 is 4059026419707.

70791462095040 is a `hidden beast` number, since 7 + 0 + 7 + 9 + 1 + 4 + 620 + 9 + 5 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×70791462095040³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9328163566 + ... + 9328171154.

Almost surely, 2^{70791462095040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70791462095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126529022196720).

70791462095040 is an abundant number, since it is smaller than the sum of its proper divisors (182266582298400).

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

70791462095040 is an frugal number, since it uses more digits than its factorization.

70791462095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

It can be divided in two parts, 7079146 and 2095040, that added together give a triangular number (9174186 = T₄₂₈₃).

The spelling of 70791462095040 in words is "seventy trillion, seven hundred ninety-one billion, four hundred sixty-two million, ninety-five thousand, forty".