36631354577536 has 128 divisors (see below), whose sum is σ = 73992634531200. Its totient is φ = 18062777253888.

The previous prime is 36631354577479. The next prime is 36631354577539. The reversal of 36631354577536 is 63577545313663.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×36631354577536² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (36631354577539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2066173920 + ... + 2066191648.

It is an arithmetic number, because the mean of its divisors is an integer number (578067457275).

Almost surely, 2^{36631354577536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36631354577536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36996317265600).

36631354577536 is an abundant number, since it is smaller than the sum of its proper divisors (37361279953664).

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

36631354577536 is a wasteful number, since it uses less digits than its factorization.

36631354577536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18666 (or 18654 counting only the distinct ones).

The product of its digits is 428652000, while the sum is 64.

The spelling of 36631354577536 in words is "thirty-six trillion, six hundred thirty-one billion, three hundred fifty-four million, five hundred seventy-seven thousand, five hundred thirty-six".