368450674560 has 384 divisors, whose sum is σ = 1344353643360. Its totient is φ = 96397516800.

The previous prime is 368450674523. The next prime is 368450674597. The reversal of 368450674560 is 65476054863.

368450674560 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 5 + 0 + 6 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (368450674523) and next prime (368450674597).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 368450674497 and 368450674506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8220210 + ... + 8264910.

Almost surely, 2^368450674560 is an apocalyptic number.

368450674560 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 368450674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672176821680).

368450674560 is an abundant number, since it is smaller than the sum of its proper divisors (975902968800).

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

368450674560 is an equidigital number, since it uses as much as digits as its factorization.

368450674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44788 (or 44764 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 368450674560 in words is "three hundred sixty-eight billion, four hundred fifty million, six hundred seventy-four thousand, five hundred sixty".