725301026424 has 384 divisors, whose sum is σ = 2232921600000. Its totient is φ = 211143905280.

The previous prime is 725301026423. The next prime is 725301026501. The reversal of 725301026424 is 424620103527.

725301026424 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 0 + 1 + 0 + 2 + 642 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725301026423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340675792 + ... + 340677920.

It is an arithmetic number, because the mean of its divisors is an integer number (5814900000).

Almost surely, 2^725301026424 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 725301026424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116460800000).

725301026424 is an abundant number, since it is smaller than the sum of its proper divisors (1507620573576).

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

725301026424 is a wasteful number, since it uses less digits than its factorization.

725301026424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 725301026424 in words is "seven hundred twenty-five billion, three hundred one million, twenty-six thousand, four hundred twenty-four".