369507680640 has 1152 divisors, whose sum is σ = 1601586717120. Its totient is φ = 76629934080.

The previous prime is 369507680617. The next prime is 369507680653. The reversal of 369507680640 is 46086705963.

369507680640 is a `hidden beast` number, since 36 + 9 + 507 + 68 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 576454720 + ... + 576455360.

Almost surely, 2^369507680640 is an apocalyptic number.

369507680640 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 369507680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800793358560).

369507680640 is an abundant number, since it is smaller than the sum of its proper divisors (1232079036480).

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

369507680640 is a wasteful number, since it uses less digits than its factorization.

369507680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 369507680640 in words is "three hundred sixty-nine billion, five hundred seven million, six hundred eighty thousand, six hundred forty".