36527576400 has 480 divisors, whose sum is σ = 153716947200. Its totient is φ = 8060774400.

The previous prime is 36527576383. The next prime is 36527576401. The reversal of 36527576400 is 467572563.

36527576400 is a `hidden beast` number, since 36 + 5 + 2 + 7 + 576 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36527576401) 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 95 ways as a sum of consecutive naturals, for example, 2184070 + ... + 2200730.

It is an arithmetic number, because the mean of its divisors is an integer number (320243640).

Almost surely, 2^36527576400 is an apocalyptic number.

36527576400 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 36527576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76858473600).

36527576400 is an abundant number, since it is smaller than the sum of its proper divisors (117189370800).

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

36527576400 is a wasteful number, since it uses less digits than its factorization.

36527576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16724 (or 16707 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 36527576400 in words is "thirty-six billion, five hundred twenty-seven million, five hundred seventy-six thousand, four hundred".