36891315314640 has 120 divisors (see below), whose sum is σ = 123969021052968. Its totient is φ = 9831674188800.

The previous prime is 36891315314639. The next prime is 36891315314647. The reversal of 36891315314640 is 4641351319863.

36891315314640 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 1 + 315 + 314 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1821657697344 + 35069657617296 = 1349688^2 + 5921964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36891315314647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14471311 + ... + 16828590.

Almost surely, 2^{36891315314640} is an apocalyptic number.

36891315314640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36891315314640 is an abundant number, since it is smaller than the sum of its proper divisors (87077705738328).

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

36891315314640 is a wasteful number, since it uses less digits than its factorization.

36891315314640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31301557 (or 31301548 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 36891315314640 in words is "thirty-six trillion, eight hundred ninety-one billion, three hundred fifteen million, three hundred fourteen thousand, six hundred forty".