36578304000 has 1176 divisors, whose sum is σ = 159225656148. Its totient is φ = 8360755200.

The previous prime is 36578303953. The next prime is 36578304011. The reversal of 36578304000 is 40387563.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 7! ⋅ 2!.

It can be written as a sum of positive squares in 2 ways, for example, as 24726933504 + 11851370496 = 157248^2 + 108864^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5225471997 + ... + 5225472003.

Almost surely, 2^36578304000 is an apocalyptic number.

36578304000 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 36578304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79612828074).

36578304000 is an abundant number, since it is smaller than the sum of its proper divisors (122647352148).

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

36578304000 is an frugal number, since it uses more digits than its factorization.

36578304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 36578304000 in words is "thirty-six billion, five hundred seventy-eight million, three hundred four thousand".