36393436800 has 1728 divisors, whose sum is σ = 168277276440. Its totient is φ = 7431782400.

The previous prime is 36393436777. The next prime is 36393436811. The reversal of 36393436800 is 863439363.

36393436800 is a `hidden beast` number, since 3 + 639 + 3 + 4 + 3 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4140150336 + 32253286464 = 64344^2 + 179592^2 .

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 215 ways as a sum of consecutive naturals, for example, 887644780 + ... + 887644820.

Almost surely, 2^36393436800 is an apocalyptic number.

36393436800 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 36393436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84138638220).

36393436800 is an abundant number, since it is smaller than the sum of its proper divisors (131883839640).

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

36393436800 is a wasteful number, since it uses less digits than its factorization.

36393436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 36393436800 in words is "thirty-six billion, three hundred ninety-three million, four hundred thirty-six thousand, eight hundred".