10398937680 has 320 divisors, whose sum is σ = 37041438720. Its totient is φ = 2679796224.

The previous prime is 10398937669. The next prime is 10398937699. The reversal of 10398937680 is 8673989301.

10398937680 is a `hidden beast` number, since 103 + 98 + 9 + 376 + 80 = 666.

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

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, 9566097 + ... + 9567183.

It is an arithmetic number, because the mean of its divisors is an integer number (115754496).

Almost surely, 2^10398937680 is an apocalyptic number.

10398937680 is a gapful number since it is divisible by the number (10) 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 10398937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520719360).

10398937680 is an abundant number, since it is smaller than the sum of its proper divisors (26642501040).

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

10398937680 is a wasteful number, since it uses less digits than its factorization.

10398937680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10398937680 in words is "ten billion, three hundred ninety-eight million, nine hundred thirty-seven thousand, six hundred eighty".