368290726920 has 192 divisors, whose sum is σ = 1220106888000. Its totient is φ = 96312153600.

The previous prime is 368290726913. The next prime is 368290726943. The reversal of 368290726920 is 29627092863.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62941995 + ... + 62947845.

It is an arithmetic number, because the mean of its divisors is an integer number (6354723375).

Almost surely, 2^368290726920 is an apocalyptic number.

368290726920 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 368290726920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610053444000).

368290726920 is an abundant number, since it is smaller than the sum of its proper divisors (851816161080).

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

368290726920 is a wasteful number, since it uses less digits than its factorization.

368290726920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 368290726920 in words is "three hundred sixty-eight billion, two hundred ninety million, seven hundred twenty-six thousand, nine hundred twenty".