725273879040 has 640 divisors, whose sum is σ = 2615129763840. Its totient is φ = 190513152000.

The previous prime is 725273879021. The next prime is 725273879131. The reversal of 725273879040 is 40978372527.

725273879040 is a `hidden beast` number, since 7 + 2 + 527 + 3 + 8 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808662840 + ... + 1808663240.

It is an arithmetic number, because the mean of its divisors is an integer number (4086140256).

Almost surely, 2^725273879040 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 725273879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307564881920).

725273879040 is an abundant number, since it is smaller than the sum of its proper divisors (1889855884800).

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

725273879040 is a wasteful number, since it uses less digits than its factorization.

725273879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 725273879040 in words is "seven hundred twenty-five billion, two hundred seventy-three million, eight hundred seventy-nine thousand, forty".