10678704960 has 672 divisors, whose sum is σ = 44520892416. Its totient is φ = 2118758400.

The previous prime is 10678704929. The next prime is 10678704991. The reversal of 10678704960 is 6940787601.

It is an interprime number because it is at equal distance from previous prime (10678704929) and next prime (10678704991).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10678704960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18701475 + ... + 18702045.

It is an arithmetic number, because the mean of its divisors is an integer number (66251328).

Almost surely, 2^10678704960 is an apocalyptic number.

10678704960 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 10678704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260446208).

10678704960 is an abundant number, since it is smaller than the sum of its proper divisors (33842187456).

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

10678704960 is a wasteful number, since it uses less digits than its factorization.

10678704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10678704960 in words is "ten billion, six hundred seventy-eight million, seven hundred four thousand, nine hundred sixty".