716977815120 has 480 divisors, whose sum is σ = 2898781966080. Its totient is φ = 155141775360.

The previous prime is 716977815091. The next prime is 716977815131. The reversal of 716977815120 is 21518779617.

It is a super-2 number, since 2×716977815120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250602490 + ... + 250605350.

It is an arithmetic number, because the mean of its divisors is an integer number (6039129096).

Almost surely, 2^716977815120 is an apocalyptic number.

716977815120 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 716977815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449390983040).

716977815120 is an abundant number, since it is smaller than the sum of its proper divisors (2181804150960).

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

716977815120 is a wasteful number, since it uses less digits than its factorization.

716977815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 716977815120 in words is "seven hundred sixteen billion, nine hundred seventy-seven million, eight hundred fifteen thousand, one hundred twenty".