725306448384 has 960 divisors, whose sum is σ = 2584530115200. Its totient is φ = 200150286336.

The previous prime is 725306448367. The next prime is 725306448409. The reversal of 725306448384 is 483844603527.

725306448384 is a `hidden beast` number, since 7 + 2 + 530 + 64 + 48 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×725306448384² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 725306448384.

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, 3195182479 + ... + 3195182705.

It is an arithmetic number, because the mean of its divisors is an integer number (2692218870).

Almost surely, 2^725306448384 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 725306448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292265057600).

725306448384 is an abundant number, since it is smaller than the sum of its proper divisors (1859223666816).

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

725306448384 is a wasteful number, since it uses less digits than its factorization.

725306448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 725306448384 in words is "seven hundred twenty-five billion, three hundred six million, four hundred forty-eight thousand, three hundred eighty-four".