716374512296640 has 1344 divisors, whose sum is σ = 2727985729996800. Its totient is φ = 178311307198464.

The previous prime is 716374512296621. The next prime is 716374512296659. The reversal of 716374512296640 is 46692215473617.

716374512296640 is a `hidden beast` number, since 7 + 1 + 6 + 3 + 74 + 512 + 2 + 9 + 6 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (716374512296621) and next prime (716374512296659).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258899352537 + ... + 258899355303.

It is an arithmetic number, because the mean of its divisors is an integer number (2029751287200).

Almost surely, 2^{716374512296640} 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 716374512296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363992864998400).

716374512296640 is an abundant number, since it is smaller than the sum of its proper divisors (2011611217700160).

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

716374512296640 is a wasteful number, since it uses less digits than its factorization.

716374512296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 716374512296640 in words is "seven hundred sixteen trillion, three hundred seventy-four billion, five hundred twelve million, two hundred ninety-six thousand, six hundred forty".