396725575680 has 672 divisors, whose sum is σ = 1641002539680. Its totient is φ = 90667745280.

The previous prime is 396725575669. The next prime is 396725575717. The reversal of 396725575680 is 86575527693.

396725575680 is a `hidden beast` number, since 3 + 9 + 6 + 72 + 557 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54186420 + ... + 54193740.

It is an arithmetic number, because the mean of its divisors is an integer number (2441968065).

Almost surely, 2^396725575680 is an apocalyptic number.

396725575680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396725575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820501269840).

396725575680 is an abundant number, since it is smaller than the sum of its proper divisors (1244276964000).

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

396725575680 is an equidigital number, since it uses as much as digits as its factorization.

396725575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 396725575680 in words is "three hundred ninety-six billion, seven hundred twenty-five million, five hundred seventy-five thousand, six hundred eighty".