36240788880 has 320 divisors, whose sum is σ = 128504275200. Its totient is φ = 9382072320.

The previous prime is 36240788861. The next prime is 36240788911. The reversal of 36240788880 is 8888704263.

36240788880 is a `hidden beast` number, since 3 + 624 + 0 + 7 + 8 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 20279347 + ... + 20281133.

It is an arithmetic number, because the mean of its divisors is an integer number (401575860).

Almost surely, 2^36240788880 is an apocalyptic number.

36240788880 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 36240788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64252137600).

36240788880 is an abundant number, since it is smaller than the sum of its proper divisors (92263486320).

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

36240788880 is a wasteful number, since it uses less digits than its factorization.

36240788880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 36240788880 in words is "thirty-six billion, two hundred forty million, seven hundred eighty-eight thousand, eight hundred eighty".