36764001456 has 240 divisors, whose sum is σ = 119384796384. Its totient is φ = 9662865408.

The previous prime is 36764001437. The next prime is 36764001487. The reversal of 36764001456 is 65410046763.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9690696 + ... + 9694488.

Almost surely, 2^36764001456 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 36764001456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59692398192).

36764001456 is an abundant number, since it is smaller than the sum of its proper divisors (82620794928).

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

36764001456 is a wasteful number, since it uses less digits than its factorization.

36764001456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 36764001456 in words is "thirty-six billion, seven hundred sixty-four million, one thousand, four hundred fifty-six".