36540262080 has 224 divisors, whose sum is σ = 147321300480. Its totient is φ = 8352046080.

The previous prime is 36540262069. The next prime is 36540262147. The reversal of 36540262080 is 8026204563.

36540262080 is a `hidden beast` number, since 36 + 540 + 2 + 6 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 241606 + ... + 362565.

Almost surely, 2^36540262080 is an apocalyptic number.

36540262080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36540262080 is an abundant number, since it is smaller than the sum of its proper divisors (110781038400).

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

36540262080 is a wasteful number, since it uses less digits than its factorization.

36540262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604204 (or 604188 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36540262080 in words is "thirty-six billion, five hundred forty million, two hundred sixty-two thousand, eighty".