368427864000 has 336 divisors, whose sum is σ = 1415173537440. Its totient is φ = 84211814400.

The previous prime is 368427863977. The next prime is 368427864053. The reversal of 368427864000 is 468724863.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1019356 + ... + 1332644.

Almost surely, 2^368427864000 is an apocalyptic number.

368427864000 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 368427864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707586768720).

368427864000 is an abundant number, since it is smaller than the sum of its proper divisors (1046745673440).

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

368427864000 is a wasteful number, since it uses less digits than its factorization.

368427864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313333 (or 313306 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 368427864000 in words is "three hundred sixty-eight billion, four hundred twenty-seven million, eight hundred sixty-four thousand".