368299802513664 has 360 divisors, whose sum is σ = 1258001820649728. Its totient is φ = 104984347484160.

The previous prime is 368299802513647. The next prime is 368299802513693. The reversal of 368299802513664 is 466315208992863.

368299802513664 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 9 + 9 + 8 + 0 + 251 + 366 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 368299802513592 and 368299802513601.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59616964 + ... + 65504060.

Almost surely, 2^{368299802513664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368299802513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629000910324864).

368299802513664 is an abundant number, since it is smaller than the sum of its proper divisors (889702018136064).

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

368299802513664 is an equidigital number, since it uses as much as digits as its factorization.

368299802513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887563 (or 5887540 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 368299802513664 in words is "three hundred sixty-eight trillion, two hundred ninety-nine billion, eight hundred two million, five hundred thirteen thousand, six hundred sixty-four".