724832064 has 336 divisors, whose sum is σ = 2485217280. Its totient is φ = 207152640.

The previous prime is 724832033. The next prime is 724832089. The reversal of 724832064 is 460238427.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250257 + ... + 3250479.

It is an arithmetic number, because the mean of its divisors is an integer number (7396480).

Almost surely, 2^724832064 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 724832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242608640).

724832064 is an abundant number, since it is smaller than the sum of its proper divisors (1760385216).

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

724832064 is a wasteful number, since it uses less digits than its factorization.

724832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

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

The square root of 724832064 is about 26922.7053618317. The cubic root of 724832064 is about 898.2815207876.

It can be divided in two parts, 72483 and 2064, that added together give a palindrome (74547).

The spelling of 724832064 in words is "seven hundred twenty-four million, eight hundred thirty-two thousand, sixty-four".