36887201664 has 192 divisors, whose sum is σ = 105810006000. Its totient is φ = 11380654080.

The previous prime is 36887201641. The next prime is 36887201693. The reversal of 36887201664 is 46610278863.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6766812 + ... + 6772260.

Almost surely, 2^36887201664 is an apocalyptic number.

36887201664 is a gapful number since it is divisible by the number (34) 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 36887201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52905003000).

36887201664 is an abundant number, since it is smaller than the sum of its proper divisors (68922804336).

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

36887201664 is a wasteful number, since it uses less digits than its factorization.

36887201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 36887201664 in words is "thirty-six billion, eight hundred eighty-seven million, two hundred one thousand, six hundred sixty-four".