36404628800 has 84 divisors (see below), whose sum is σ = 89741159100. Its totient is φ = 14535352320.

The previous prime is 36404628787. The next prime is 36404628833. The reversal of 36404628800 is 882640463.

It can be written as a sum of positive squares in 6 ways, for example, as 3035569216 + 33369059584 = 55096^2 + 182672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870776 + ... + 911624.

Almost surely, 2^36404628800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36404628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44870579550).

36404628800 is an abundant number, since it is smaller than the sum of its proper divisors (53336530300).

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

36404628800 is a wasteful number, since it uses less digits than its factorization.

36404628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41428 (or 41413 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 36404628800 in words is "thirty-six billion, four hundred four million, six hundred twenty-eight thousand, eight hundred".