71640715857480 has 288 divisors, whose sum is σ = 292483584993600. Its totient is φ = 14886382452480.

The previous prime is 71640715857479. The next prime is 71640715857577. The reversal of 71640715857480 is 8475851704617.

71640715857480 is a `hidden beast` number, since 7 + 1 + 6 + 4 + 0 + 7 + 1 + 58 + 574 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 117169690 + ... + 117779529.

It is an arithmetic number, because the mean of its divisors is an integer number (1015568003450).

Almost surely, 2^{71640715857480} is an apocalyptic number.

71640715857480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71640715857480 is an abundant number, since it is smaller than the sum of its proper divisors (220842869136120).

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

71640715857480 is a wasteful number, since it uses less digits than its factorization.

71640715857480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234949265 (or 234949247 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 71640715857480 in words is "seventy-one trillion, six hundred forty billion, seven hundred fifteen million, eight hundred fifty-seven thousand, four hundred eighty".