368026260480 has 704 divisors, whose sum is σ = 1382579827200. Its totient is φ = 93807673344.

The previous prime is 368026260451. The next prime is 368026260491. The reversal of 368026260480 is 84062620863.

368026260480 is a `hidden beast` number, since 36 + 8 + 0 + 2 + 6 + 2 + 604 + 8 + 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 63 ways as a sum of consecutive naturals, for example, 257540406 + ... + 257541834.

It is an arithmetic number, because the mean of its divisors is an integer number (1963891800).

Almost surely, 2^368026260480 is an apocalyptic number.

368026260480 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 368026260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691289913600).

368026260480 is an abundant number, since it is smaller than the sum of its proper divisors (1014553566720).

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

368026260480 is an equidigital number, since it uses as much as digits as its factorization.

368026260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 368026260480 in words is "three hundred sixty-eight billion, twenty-six million, two hundred sixty thousand, four hundred eighty".