36895864320 has 480 divisors, whose sum is σ = 154636941888. Its totient is φ = 7936671744.

The previous prime is 36895864309. The next prime is 36895864321. The reversal of 36895864320 is 2346859863.

36895864320 is a `hidden beast` number, since 36 + 8 + 9 + 586 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×36895864320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36895864321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735032 + ... + 2748488.

Almost surely, 2^36895864320 is an apocalyptic number.

36895864320 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 36895864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77318470944).

36895864320 is an abundant number, since it is smaller than the sum of its proper divisors (117741077568).

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

36895864320 is a wasteful number, since it uses less digits than its factorization.

36895864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13510 (or 13491 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 36895864320 in words is "thirty-six billion, eight hundred ninety-five million, eight hundred sixty-four thousand, three hundred twenty".