368632026725760 has 1536 divisors, whose sum is σ = 1572245182512000. Its totient is φ = 81293790412800.

The previous prime is 368632026725741. The next prime is 368632026725777. The reversal of 368632026725760 is 67527620236863.

368632026725760 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 32 + 0 + 26 + 7 + 2 + 576 + 0 = 666.

It is a super-2 number, since 2×368632026725760² (a number of 30 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 39312358192 + ... + 39312367568.

Almost surely, 2^{368632026725760} is an apocalyptic number.

368632026725760 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 368632026725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786122591256000).

368632026725760 is an abundant number, since it is smaller than the sum of its proper divisors (1203613155786240).

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

368632026725760 is a wasteful number, since it uses less digits than its factorization.

368632026725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049 (or 11024 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 368632026725760 in words is "three hundred sixty-eight trillion, six hundred thirty-two billion, twenty-six million, seven hundred twenty-five thousand, seven hundred sixty".