396682634880 has 640 divisors, whose sum is σ = 1714262330880. Its totient is φ = 85335441408.

The previous prime is 396682634861. The next prime is 396682634993. The reversal of 396682634880 is 88436286693.

396682634880 is a `hidden beast` number, since 3 + 96 + 6 + 8 + 2 + 63 + 488 + 0 = 666.

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

It is a super-2 number, since 2×396682634880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6136809 + ... + 6201111.

It is an arithmetic number, because the mean of its divisors is an integer number (2678534892).

Almost surely, 2^396682634880 is an apocalyptic number.

396682634880 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 396682634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857131165440).

396682634880 is an abundant number, since it is smaller than the sum of its proper divisors (1317579696000).

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

396682634880 is a wasteful number, since it uses less digits than its factorization.

396682634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64358 (or 64337 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 396682634880 in words is "three hundred ninety-six billion, six hundred eighty-two million, six hundred thirty-four thousand, eight hundred eighty".