36368640000 has 1440 divisors, whose sum is σ = 167636589120. Its totient is φ = 7372800000.

The previous prime is 36368639999. The next prime is 36368640019. The reversal of 36368640000 is 4686363.

36368640000 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 887039980 + ... + 887040020.

It is an arithmetic number, because the mean of its divisors is an integer number (116414298).

Almost surely, 2^36368640000 is an apocalyptic number.

36368640000 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 36368640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83818294560).

36368640000 is an abundant number, since it is smaller than the sum of its proper divisors (131267949120).

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

36368640000 is a wasteful number, since it uses less digits than its factorization.

36368640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

It can be divided in two parts, 36 and 368640000, that multiplied together give a square (13271040000 = 115200²).

The spelling of 36368640000 in words is "thirty-six billion, three hundred sixty-eight million, six hundred forty thousand".