368533831680 has 456 divisors, whose sum is σ = 1460420312832. Its totient is φ = 84217430016.

The previous prime is 368533831667. The next prime is 368533831693. The reversal of 368533831680 is 86138335863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (368533831667) and next prime (368533831693).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82573129 + ... + 82577591.

Almost surely, 2^368533831680 is an apocalyptic number.

368533831680 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 368533831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730210156416).

368533831680 is an abundant number, since it is smaller than the sum of its proper divisors (1091886481152).

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

368533831680 is an frugal number, since it uses more digits than its factorization.

368533831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 368533831680 in words is "three hundred sixty-eight billion, five hundred thirty-three million, eight hundred thirty-one thousand, six hundred eighty".