10398714768 has 480 divisors, whose sum is σ = 35174832000. Its totient is φ = 2921619456.

The previous prime is 10398714719. The next prime is 10398714773. The reversal of 10398714768 is 86741789301.

10398714768 is a `hidden beast` number, since 10 + 3 + 98 + 71 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 69789958 + ... + 69790106.

It is an arithmetic number, because the mean of its divisors is an integer number (73280900).

Almost surely, 2^10398714768 is an apocalyptic number.

10398714768 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 10398714768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587416000).

10398714768 is an abundant number, since it is smaller than the sum of its proper divisors (24776117232).

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

10398714768 is a wasteful number, since it uses less digits than its factorization.

10398714768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10398714768 in words is "ten billion, three hundred ninety-eight million, seven hundred fourteen thousand, seven hundred sixty-eight".