369375087630240 has 480 divisors, whose sum is σ = 1317969092840400. Its totient is φ = 97418921066496.

The previous prime is 369375087630217. The next prime is 369375087630287. The reversal of 369375087630240 is 42036780573963.

369375087630240 is a `hidden beast` number, since 3 + 6 + 9 + 3 + 7 + 508 + 76 + 30 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 159876906331536 + 209498181298704 = 12644244^2 + 14474052^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 449521842 + ... + 450342798.

Almost surely, 2^{369375087630240} is an apocalyptic number.

369375087630240 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 369375087630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658984546420200).

369375087630240 is an abundant number, since it is smaller than the sum of its proper divisors (948594005210160).

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

369375087630240 is a wasteful number, since it uses less digits than its factorization.

369375087630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821366 (or 821349 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 369375087630240 in words is "three hundred sixty-nine trillion, three hundred seventy-five billion, eighty-seven million, six hundred thirty thousand, two hundred forty".