725018456064 has 416 divisors, whose sum is σ = 2385051448320. Its totient is φ = 191294078976.

The previous prime is 725018456053. The next prime is 725018456161. The reversal of 725018456064 is 460654810527.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57366354 + ... + 57378990.

Almost surely, 2^725018456064 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 725018456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192525724160).

725018456064 is an abundant number, since it is smaller than the sum of its proper divisors (1660032992256).

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

725018456064 is a wasteful number, since it uses less digits than its factorization.

725018456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12723 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 725018456064 in words is "seven hundred twenty-five billion, eighteen million, four hundred fifty-six thousand, sixty-four".