363216435120 has 2160 divisors, whose sum is σ = 1713864472320. Its totient is φ = 69838433280.

The previous prime is 363216435061. The next prime is 363216435143. The reversal of 363216435120 is 21534612363.

363216435120 is a `hidden beast` number, since 3 + 6 + 3 + 2 + 1 + 643 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8446893819 + ... + 8446893861.

Almost surely, 2^363216435120 is an apocalyptic number.

363216435120 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 363216435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856932236160).

363216435120 is an abundant number, since it is smaller than the sum of its proper divisors (1350648037200).

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

363216435120 is a wasteful number, since it uses less digits than its factorization.

363216435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

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

The spelling of 363216435120 in words is "three hundred sixty-three billion, two hundred sixteen million, four hundred thirty-five thousand, one hundred twenty".