716939093606400 has 3888 divisors, whose sum is σ = 3415143219969600. Its totient is φ = 146114787409920.

The previous prime is 716939093606369. The next prime is 716939093606413. The reversal of 716939093606400 is 4606390939617.

716939093606400 is a `hidden beast` number, since 7 + 1 + 69 + 390 + 93 + 60 + 6 + 40 + 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37733636505591 + ... + 37733636505609.

Almost surely, 2^{716939093606400} is an apocalyptic number.

716939093606400 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 716939093606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707571609984800).

716939093606400 is an abundant number, since it is smaller than the sum of its proper divisors (2698204126363200).

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

716939093606400 is an frugal number, since it uses more digits than its factorization.

716939093606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 716939093606400 in words is "seven hundred sixteen trillion, nine hundred thirty-nine billion, ninety-three million, six hundred six thousand, four hundred".