369993707815680 has 1440 divisors, whose sum is σ = 1472935557316608. Its totient is φ = 88065626112000.

The previous prime is 369993707815673. The next prime is 369993707815751. The reversal of 369993707815680 is 86518707399963.

369993707815680 is a `hidden beast` number, since 3 + 6 + 9 + 99 + 370 + 7 + 8 + 156 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 369993707815680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65474020855 + ... + 65474026505.

Almost surely, 2^{369993707815680} is an apocalyptic number.

369993707815680 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 369993707815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736467778658304).

369993707815680 is an abundant number, since it is smaller than the sum of its proper divisors (1102941849500928).

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

369993707815680 is a wasteful number, since it uses less digits than its factorization.

369993707815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7295 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 369993707815680 in words is "three hundred sixty-nine trillion, nine hundred ninety-three billion, seven hundred seven million, eight hundred fifteen thousand, six hundred eighty".