36274557654720 has 5376 divisors, whose sum is σ = 180367129313280. Its totient is φ = 6713686425600.

The previous prime is 36274557654719. The next prime is 36274557654733. The reversal of 36274557654720 is 2745675547263.

36274557654720 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 4 + 5 + 576 + 54 + 7 + 2 + 0 = 666.

36274557654720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 123803950894 + ... + 123803951186.

It is an arithmetic number, because the mean of its divisors is an integer number (33550433280).

Almost surely, 2^{36274557654720} is an apocalyptic number.

36274557654720 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 36274557654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90183564656640).

36274557654720 is an abundant number, since it is smaller than the sum of its proper divisors (144092571658560).

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

36274557654720 is a wasteful number, since it uses less digits than its factorization.

36274557654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 63.

The spelling of 36274557654720 in words is "thirty-six trillion, two hundred seventy-four billion, five hundred fifty-seven million, six hundred fifty-four thousand, seven hundred twenty".