10407538368 has 336 divisors, whose sum is σ = 32219066880. Its totient is φ = 3328625664.

The previous prime is 10407538301. The next prime is 10407538373. The reversal of 10407538368 is 86383570401.

10407538368 is a `hidden beast` number, since 10 + 40 + 7 + 538 + 3 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52830046 + ... + 52830242.

It is an arithmetic number, because the mean of its divisors is an integer number (95890080).

Almost surely, 2^10407538368 is an apocalyptic number.

10407538368 is a gapful number since it is divisible by the number (18) 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 10407538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109533440).

10407538368 is an abundant number, since it is smaller than the sum of its proper divisors (21811528512).

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

10407538368 is an equidigital number, since it uses as much as digits as its factorization.

10407538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10407538368 in words is "ten billion, four hundred seven million, five hundred thirty-eight thousand, three hundred sixty-eight".