724980297960 has 384 divisors, whose sum is σ = 2611782351360. Its totient is φ = 173474611200.

The previous prime is 724980297919. The next prime is 724980297961. The reversal of 724980297960 is 69792089427.

724980297960 is a `hidden beast` number, since 72 + 498 + 0 + 2 + 9 + 79 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (724980297961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 43768080 + ... + 43784640.

It is an arithmetic number, because the mean of its divisors is an integer number (6801516540).

Almost surely, 2^724980297960 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 724980297960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305891175680).

724980297960 is an abundant number, since it is smaller than the sum of its proper divisors (1886802053400).

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

724980297960 is a wasteful number, since it uses less digits than its factorization.

724980297960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16929 (or 16922 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 724980297960 in words is "seven hundred twenty-four billion, nine hundred eighty million, two hundred ninety-seven thousand, nine hundred sixty".