724126464 has 108 divisors (see below), whose sum is σ = 2095414776. Its totient is φ = 240500736.

The previous prime is 724126453. The next prime is 724126511. The reversal of 724126464 is 464621427.

724126464 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 2 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075632 + ... + 1076304.

Almost surely, 2^724126464 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 724126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047707388).

724126464 is an abundant number, since it is smaller than the sum of its proper divisors (1371288312).

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

724126464 is a wasteful number, since it uses less digits than its factorization.

724126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1145 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 724126464 is about 26909.5979903082. The cubic root of 724126464 is about 897.9899437203.

The spelling of 724126464 in words is "seven hundred twenty-four million, one hundred twenty-six thousand, four hundred sixty-four".