368533463040 has 560 divisors, whose sum is σ = 1334227850208. Its totient is φ = 97306804224.

The previous prime is 368533463027. The next prime is 368533463071. The reversal of 368533463040 is 40364335863.

368533463040 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 3 + 3 + 4 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 374906389 + ... + 374907371.

Almost surely, 2^368533463040 is an apocalyptic number.

368533463040 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 368533463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667113925104).

368533463040 is an abundant number, since it is smaller than the sum of its proper divisors (965694387168).

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

368533463040 is an equidigital number, since it uses as much as digits as its factorization.

368533463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 368533463040 in words is "three hundred sixty-eight billion, five hundred thirty-three million, four hundred sixty-three thousand, forty".