36264736000 has 288 divisors, whose sum is σ = 93966032160. Its totient is φ = 13934592000.

The previous prime is 36264735977. The next prime is 36264736021. The reversal of 36264736000 is 63746263.

It can be written as a sum of positive squares in 16 ways, for example, as 10879324416 + 25385411584 = 104304^2 + 159328^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129055860 + ... + 129056140.

It is an arithmetic number, because the mean of its divisors is an integer number (326270945).

Almost surely, 2^36264736000 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 36264736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46983016080).

36264736000 is an abundant number, since it is smaller than the sum of its proper divisors (57701296160).

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

36264736000 is a wasteful number, since it uses less digits than its factorization.

36264736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The spelling of 36264736000 in words is "thirty-six billion, two hundred sixty-four million, seven hundred thirty-six thousand".