36540704400 has 240 divisors, whose sum is σ = 127937668608. Its totient is φ = 8875008000.

The previous prime is 36540704399. The next prime is 36540704419. The reversal of 36540704400 is 440704563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603510 + ... + 661290.

Almost surely, 2^36540704400 is an apocalyptic number.

36540704400 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 36540704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63968834304).

36540704400 is an abundant number, since it is smaller than the sum of its proper divisors (91396964208).

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

36540704400 is a wasteful number, since it uses less digits than its factorization.

36540704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57850 (or 57839 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 36540704400 in words is "thirty-six billion, five hundred forty million, seven hundred four thousand, four hundred".