368969688780 has 768 divisors, whose sum is σ = 1396580548608. Its totient is φ = 70447104000.

The previous prime is 368969688779. The next prime is 368969688799. The reversal of 368969688780 is 87886969863.

It is a super-2 number, since 2×368969688780² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 368969688696 and 368969688705.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 708194920 + ... + 708195440.

It is an arithmetic number, because the mean of its divisors is an integer number (1818464256).

Almost surely, 2^368969688780 is an apocalyptic number.

368969688780 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 368969688780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698290274304).

368969688780 is an abundant number, since it is smaller than the sum of its proper divisors (1027610859828).

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

368969688780 is a wasteful number, since it uses less digits than its factorization.

368969688780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 78.

The spelling of 368969688780 in words is "three hundred sixty-eight billion, nine hundred sixty-nine million, six hundred eighty-eight thousand, seven hundred eighty".