10314607680 has 336 divisors, whose sum is σ = 39443948544. Its totient is φ = 2456801280.

The previous prime is 10314607673. The next prime is 10314607687. The reversal of 10314607680 is 8670641301.

10314607680 is a `hidden beast` number, since 10 + 31 + 4 + 607 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10314607673) and next prime (10314607687).

It is a super-2 number, since 2×10314607680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10314607687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156197 + ... + 1165083.

It is an arithmetic number, because the mean of its divisors is an integer number (117392704).

Almost surely, 2^10314607680 is an apocalyptic number.

10314607680 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 10314607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721974272).

10314607680 is an abundant number, since it is smaller than the sum of its proper divisors (29129340864).

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

10314607680 is a wasteful number, since it uses less digits than its factorization.

10314607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10314607680 in words is "ten billion, three hundred fourteen million, six hundred seven thousand, six hundred eighty".