10678542336 has 840 divisors, whose sum is σ = 42184259040. Its totient is φ = 2627665920.

The previous prime is 10678542323. The next prime is 10678542377. The reversal of 10678542336 is 63324587601.

10678542336 is a `hidden beast` number, since 1 + 0 + 6 + 78 + 542 + 3 + 36 = 666.

It is a super-2 number, since 2×10678542336² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10678542291 and 10678542300.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 562028535 + ... + 562028553.

It is an arithmetic number, because the mean of its divisors is an integer number (50219356).

Almost surely, 2^10678542336 is an apocalyptic number.

10678542336 is a gapful number since it is divisible by the number (16) 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 10678542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092129520).

10678542336 is an abundant number, since it is smaller than the sum of its proper divisors (31505716704).

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

10678542336 is an equidigital number, since it uses as much as digits as its factorization.

10678542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10678542336 in words is "ten billion, six hundred seventy-eight million, five hundred forty-two thousand, three hundred thirty-six".