724949471232 has 780 divisors, whose sum is σ = 2652926635920. Its totient is φ = 196143316992.

The previous prime is 724949471227. The next prime is 724949471263. The reversal of 724949471232 is 232174949427.

724949471232 is a `hidden beast` number, since 7 + 24 + 9 + 494 + 7 + 123 + 2 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 308882283 + ... + 308884629.

Almost surely, 2^724949471232 is an apocalyptic number.

724949471232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724949471232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326463317960).

724949471232 is an abundant number, since it is smaller than the sum of its proper divisors (1927977164688).

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

724949471232 is a wasteful number, since it uses less digits than its factorization.

724949471232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2378 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 724949471232 in words is "seven hundred twenty-four billion, nine hundred forty-nine million, four hundred seventy-one thousand, two hundred thirty-two".