36895668480 has 1080 divisors, whose sum is σ = 154536444216. Its totient is φ = 8369602560.

The previous prime is 36895668457. The next prime is 36895668493. The reversal of 36895668480 is 8486659863.

36895668480 is a `hidden beast` number, since 3 + 6 + 8 + 95 + 6 + 68 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15659018496 + 21236649984 = 125136^2 + 145728^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×36895668480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 213269674 + ... + 213269846.

Almost surely, 2^36895668480 is an apocalyptic number.

36895668480 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 36895668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77268222108).

36895668480 is an abundant number, since it is smaller than the sum of its proper divisors (117640775736).

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

36895668480 is a wasteful number, since it uses less digits than its factorization.

36895668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 36895668480 in words is "thirty-six billion, eight hundred ninety-five million, six hundred sixty-eight thousand, four hundred eighty".