36092120064 has 704 divisors, whose sum is σ = 131571858432. Its totient is φ = 8564244480.

The previous prime is 36092120033. The next prime is 36092120081. The reversal of 36092120064 is 46002129063.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×36092120064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372083664 + ... + 372083760.

Almost surely, 2^36092120064 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 36092120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65785929216).

36092120064 is an abundant number, since it is smaller than the sum of its proper divisors (95479738368).

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

36092120064 is a wasteful number, since it uses less digits than its factorization.

36092120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 36092120064 in words is "thirty-six billion, ninety-two million, one hundred twenty thousand, sixty-four".