36765162720 has 432 divisors, whose sum is σ = 148520657376. Its totient is φ = 8226662400.

The previous prime is 36765162713. The next prime is 36765162743. The reversal of 36765162720 is 2726156763.

36765162720 is a `hidden beast` number, since 3 + 67 + 6 + 516 + 2 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2257005 + ... + 2273235.

It is an arithmetic number, because the mean of its divisors is an integer number (343797818).

Almost surely, 2^36765162720 is an apocalyptic number.

36765162720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36765162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74260328688).

36765162720 is an abundant number, since it is smaller than the sum of its proper divisors (111755494656).

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

36765162720 is a wasteful number, since it uses less digits than its factorization.

36765162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16287 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 36765162720 in words is "thirty-six billion, seven hundred sixty-five million, one hundred sixty-two thousand, seven hundred twenty".