36415552320 has 672 divisors, whose sum is σ = 149778720000. Its totient is φ = 8249278464.

The previous prime is 36415552297. The next prime is 36415552331. The reversal of 36415552320 is 2325551463.

36415552320 is a `hidden beast` number, since 3 + 6 + 415 + 5 + 5 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81103456 + ... + 81103904.

It is an arithmetic number, because the mean of its divisors is an integer number (222885000).

Almost surely, 2^36415552320 is an apocalyptic number.

36415552320 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 36415552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889360000).

36415552320 is an abundant number, since it is smaller than the sum of its proper divisors (113363167680).

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

36415552320 is a wasteful number, since it uses less digits than its factorization.

36415552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 36415552320 in words is "thirty-six billion, four hundred fifteen million, five hundred fifty-two thousand, three hundred twenty".