36004780800 has 432 divisors, whose sum is σ = 133064400000. Its totient is φ = 9525841920.

The previous prime is 36004780787. The next prime is 36004780829. The reversal of 36004780800 is 808740063.

36004780800 is a `hidden beast` number, since 3 + 600 + 47 + 8 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 24018451 + ... + 24019949.

Almost surely, 2^36004780800 is an apocalyptic number.

36004780800 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 36004780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66532200000).

36004780800 is an abundant number, since it is smaller than the sum of its proper divisors (97059619200).

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

36004780800 is a wasteful number, since it uses less digits than its factorization.

36004780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 36004780800 in words is "thirty-six billion, four million, seven hundred eighty thousand, eight hundred".