36713564160 has 768 divisors, whose sum is σ = 151109038080. Its totient is φ = 7396392960.

The previous prime is 36713564149. The next prime is 36713564171. The reversal of 36713564160 is 6146531763.

It is an interprime number because it is at equal distance from previous prime (36713564149) and next prime (36713564171).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 64296675 + ... + 64297245.

It is an arithmetic number, because the mean of its divisors is an integer number (196756560).

Almost surely, 2^36713564160 is an apocalyptic number.

36713564160 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 36713564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75554519040).

36713564160 is an abundant number, since it is smaller than the sum of its proper divisors (114395473920).

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

36713564160 is a wasteful number, since it uses less digits than its factorization.

36713564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 36713564160 in words is "thirty-six billion, seven hundred thirteen million, five hundred sixty-four thousand, one hundred sixty".