368813364480 has 576 divisors, whose sum is σ = 1439185305600. Its totient is φ = 88693678080.

The previous prime is 368813364391. The next prime is 368813364499. The reversal of 368813364480 is 84463318863.

368813364480 is a `hidden beast` number, since 3 + 68 + 8 + 133 + 6 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48276501 + ... + 48284139.

It is an arithmetic number, because the mean of its divisors is an integer number (2498585600).

Almost surely, 2^368813364480 is an apocalyptic number.

368813364480 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 368813364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719592652800).

368813364480 is an abundant number, since it is smaller than the sum of its proper divisors (1070371941120).

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

368813364480 is a wasteful number, since it uses less digits than its factorization.

368813364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7807 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 368813364480 in words is "three hundred sixty-eight billion, eight hundred thirteen million, three hundred sixty-four thousand, four hundred eighty".