36631026524160 has 672 divisors, whose sum is σ = 132852176926560. Its totient is φ = 9681531568128.

The previous prime is 36631026524137. The next prime is 36631026524167. The reversal of 36631026524160 is 6142562013663.

36631026524160 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 102 + 6 + 524 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36631026524167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124704356 + ... + 1124736924.

It is an arithmetic number, because the mean of its divisors is an integer number (197696691855).

Almost surely, 2^{36631026524160} is an apocalyptic number.

36631026524160 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 36631026524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66426088463280).

36631026524160 is an abundant number, since it is smaller than the sum of its proper divisors (96221150402400).

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

36631026524160 is an equidigital number, since it uses as much as digits as its factorization.

36631026524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32728 (or 32692 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 36631026524160 in words is "thirty-six trillion, six hundred thirty-one billion, twenty-six million, five hundred twenty-four thousand, one hundred sixty".