36800416800 has 1152 divisors, whose sum is σ = 163789516800. Its totient is φ = 7783464960.

The previous prime is 36800416771. The next prime is 36800416801. The reversal of 36800416800 is 861400863.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (36800416801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264751131 + ... + 264751269.

It is an arithmetic number, because the mean of its divisors is an integer number (142178400).

Almost surely, 2^36800416800 is an apocalyptic number.

36800416800 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 36800416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81894758400).

36800416800 is an abundant number, since it is smaller than the sum of its proper divisors (126989100000).

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

36800416800 is a wasteful number, since it uses less digits than its factorization.

36800416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 36800416800 in words is "thirty-six billion, eight hundred million, four hundred sixteen thousand, eight hundred".