36630267871232 has 720 divisors, whose sum is σ = 91981425312000. Its totient is φ = 14500398366720.

The previous prime is 36630267871133. The next prime is 36630267871277. The reversal of 36630267871232 is 23217876203663.

It is a happy number.

It is a super-2 number, since 2×36630267871232² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161366818703 + ... + 161366818929.

It is an arithmetic number, because the mean of its divisors is an integer number (127751979600).

Almost surely, 2^{36630267871232} is an apocalyptic number.

36630267871232 is a gapful number since it is divisible by the number (32) 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 36630267871232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45990712656000).

36630267871232 is an abundant number, since it is smaller than the sum of its proper divisors (55351157440768).

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

36630267871232 is a wasteful number, since it uses less digits than its factorization.

36630267871232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 56.

The spelling of 36630267871232 in words is "thirty-six trillion, six hundred thirty billion, two hundred sixty-seven million, eight hundred seventy-one thousand, two hundred thirty-two".