724749984 has 576 divisors, whose sum is σ = 2792361600. Its totient is φ = 181149696.

The previous prime is 724749973. The next prime is 724750007. The reversal of 724749984 is 489947427.

It is a happy number.

724749984 is a `hidden beast` number, since 7 + 2 + 474 + 99 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 724749984.

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, 13674502 + ... + 13674554.

It is an arithmetic number, because the mean of its divisors is an integer number (4847850).

Almost surely, 2^724749984 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 724749984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396180800).

724749984 is an abundant number, since it is smaller than the sum of its proper divisors (2067611616).

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

724749984 is a wasteful number, since it uses less digits than its factorization.

724749984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 724749984 is about 26921.1809547798. The cubic root of 724749984 is about 898.2476123674.

The spelling of 724749984 in words is "seven hundred twenty-four million, seven hundred forty-nine thousand, nine hundred eighty-four".