716146905600 has 1440 divisors, whose sum is σ = 3157782650880. Its totient is φ = 151329669120.

The previous prime is 716146905583. The next prime is 716146905613. The reversal of 716146905600 is 6509641617.

716146905600 is a `hidden beast` number, since 7 + 16 + 14 + 69 + 0 + 560 + 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 2×716146905600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 658828257 + ... + 658829343.

Almost surely, 2^716146905600 is an apocalyptic number.

716146905600 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 716146905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578891325440).

716146905600 is an abundant number, since it is smaller than the sum of its proper divisors (2441635745280).

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

716146905600 is a wasteful number, since it uses less digits than its factorization.

716146905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 716146905600 in words is "seven hundred sixteen billion, one hundred forty-six million, nine hundred five thousand, six hundred".