36664280553600 has 384 divisors, whose sum is σ = 153349810876800. Its totient is φ = 8380406845440.

The previous prime is 36664280553583. The next prime is 36664280553601. The reversal of 36664280553600 is 635508246663.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×36664280553600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36664280553601) 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, 29706279 + ... + 30915878.

It is an arithmetic number, because the mean of its divisors is an integer number (399348465825).

Almost surely, 2^{36664280553600} is an apocalyptic number.

36664280553600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36664280553600 is an abundant number, since it is smaller than the sum of its proper divisors (116685530323200).

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

36664280553600 is a wasteful number, since it uses less digits than its factorization.

36664280553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60622197 (or 60622174 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 36664280553600 in words is "thirty-six trillion, six hundred sixty-four billion, two hundred eighty million, five hundred fifty-three thousand, six hundred".