367638032160 has 576 divisors, whose sum is σ = 1483616010240. Its totient is φ = 81124485120.

The previous prime is 367638032117. The next prime is 367638032213. The reversal of 367638032160 is 61230836763.

367638032160 is a `hidden beast` number, since 3 + 6 + 7 + 638 + 0 + 3 + 2 + 1 + 6 + 0 = 666.

367638032160 is digitally balanced in base 4, 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157176271 + ... + 157178609.

It is an arithmetic number, because the mean of its divisors is an integer number (2575722240).

Almost surely, 2^367638032160 is an apocalyptic number.

367638032160 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 367638032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741808005120).

367638032160 is an abundant number, since it is smaller than the sum of its proper divisors (1115977978080).

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

367638032160 is a wasteful number, since it uses less digits than its factorization.

367638032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 367638032160 in words is "three hundred sixty-seven billion, six hundred thirty-eight million, thirty-two thousand, one hundred sixty".