70791921527040 has 1440 divisors, whose sum is σ = 305194238705664. Its totient is φ = 15325642506240.

The previous prime is 70791921527021. The next prime is 70791921527081. The reversal of 70791921527040 is 4072512919707.

70791921527040 is a `hidden beast` number, since 7 + 0 + 7 + 91 + 9 + 21 + 527 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×70791921527040² (a number of 29 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1057398847 + ... + 1057465793.

Almost surely, 2^{70791921527040} is an apocalyptic number.

70791921527040 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 70791921527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152597119352832).

70791921527040 is an abundant number, since it is smaller than the sum of its proper divisors (234402317178624).

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

70791921527040 is a wasteful number, since it uses less digits than its factorization.

70791921527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67065 (or 67042 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 70791921527040 in words is "seventy trillion, seven hundred ninety-one billion, nine hundred twenty-one million, five hundred twenty-seven thousand, forty".