714762979920 has 1120 divisors, whose sum is σ = 2837870936064. Its totient is φ = 165778099200.

The previous prime is 714762979891. The next prime is 714762979937. The reversal of 714762979920 is 29979267417.

714762979920 is a `hidden beast` number, since 7 + 1 + 476 + 2 + 9 + 79 + 92 + 0 = 666.

It is a super-2 number, since 2×714762979920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2525664099 + ... + 2525664381.

Almost surely, 2^714762979920 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 714762979920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418935468032).

714762979920 is an abundant number, since it is smaller than the sum of its proper divisors (2123107956144).

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

714762979920 is a wasteful number, since it uses less digits than its factorization.

714762979920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 714762979920 in words is "seven hundred fourteen billion, seven hundred sixty-two million, nine hundred seventy-nine thousand, nine hundred twenty".