725756791320 has 1024 divisors, whose sum is σ = 2853107712000. Its totient is φ = 162155520000.

The previous prime is 725756791313. The next prime is 725756791327. The reversal of 725756791320 is 23197657527.

725756791320 is a `hidden beast` number, since 7 + 2 + 57 + 567 + 9 + 1 + 3 + 20 = 666.

725756791320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (725756791313) and next prime (725756791327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725756791327) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2891461195 + ... + 2891461445.

It is an arithmetic number, because the mean of its divisors is an integer number (2786238000).

Almost surely, 2^725756791320 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 725756791320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426553856000).

725756791320 is an abundant number, since it is smaller than the sum of its proper divisors (2127350920680).

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

725756791320 is a wasteful number, since it uses less digits than its factorization.

725756791320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 725756791320 in words is "seven hundred twenty-five billion, seven hundred fifty-six million, seven hundred ninety-one thousand, three hundred twenty".