724916016400 has 45 divisors (see below), whose sum is σ = 1741651641093. Its totient is φ = 289959595200.

The previous prime is 724916016389. The next prime is 724916016413. The reversal of 724916016400 is 4610619427.

The square root of 724916016400 is 851420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 260969765904 + 463946250496 = 510852^2 + 681136^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17007115 + ... + 17049685.

Almost surely, 2^724916016400 is an apocalyptic number.

724916016400 is the 851420-th square number.

It is an amenable number.

724916016400 is an abundant number, since it is smaller than the sum of its proper divisors (1016735624693).

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

724916016400 is an frugal number, since it uses more digits than its factorization.

724916016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85160 (or 42578 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 724916016400 in words is "seven hundred twenty-four billion, nine hundred sixteen million, sixteen thousand, four hundred".