36495079200 has 576 divisors, whose sum is σ = 136678752000. Its totient is φ = 9392947200.

The previous prime is 36495079193. The next prime is 36495079213. The reversal of 36495079200 is 297059463.

It is a happy number.

36495079200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81280576 + ... + 81281024.

It is an arithmetic number, because the mean of its divisors is an integer number (237289500).

Almost surely, 2^36495079200 is an apocalyptic number.

36495079200 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 36495079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68339376000).

36495079200 is an abundant number, since it is smaller than the sum of its proper divisors (100183672800).

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

36495079200 is a wasteful number, since it uses less digits than its factorization.

36495079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 36495079200 in words is "thirty-six billion, four hundred ninety-five million, seventy-nine thousand, two hundred".