36664957698048 has 768 divisors, whose sum is σ = 113007138444000. Its totient is φ = 11747029155840.

The previous prime is 36664957698029. The next prime is 36664957698059. The reversal of 36664957698048 is 84089675946663.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132364468086 + ... + 132364468362.

Almost surely, 2^{36664957698048} 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 36664957698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56503569222000).

36664957698048 is an abundant number, since it is smaller than the sum of its proper divisors (76342180745952).

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

36664957698048 is an frugal number, since it uses more digits than its factorization.

36664957698048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 11287019520, while the sum is 81.

The spelling of 36664957698048 in words is "thirty-six trillion, six hundred sixty-four billion, nine hundred fifty-seven million, six hundred ninety-eight thousand, forty-eight".