36405616320 has 896 divisors, whose sum is σ = 141622272000. Its totient is φ = 8778792960.

The previous prime is 36405616279. The next prime is 36405616321. The reversal of 36405616320 is 2361650463.

36405616320 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 5 + 616 + 32 + 0 = 666.

36405616320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36405616321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 333996426 + ... + 333996534.

Almost surely, 2^36405616320 is an apocalyptic number.

36405616320 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 36405616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70811136000).

36405616320 is an abundant number, since it is smaller than the sum of its proper divisors (105216655680).

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

36405616320 is a wasteful number, since it uses less digits than its factorization.

36405616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 36405616320 in words is "thirty-six billion, four hundred five million, six hundred sixteen thousand, three hundred twenty".