10678929408 has 384 divisors, whose sum is σ = 36984729600. Its totient is φ = 2981117952.

The previous prime is 10678929379. The next prime is 10678929409. The reversal of 10678929408 is 80492987601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10678929408² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10678929409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18192091 + ... + 18192677.

It is an arithmetic number, because the mean of its divisors is an integer number (96314400).

Almost surely, 2^10678929408 is an apocalyptic number.

10678929408 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 10678929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492364800).

10678929408 is an abundant number, since it is smaller than the sum of its proper divisors (26305800192).

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

10678929408 is an equidigital number, since it uses as much as digits as its factorization.

10678929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10678929408 in words is "ten billion, six hundred seventy-eight million, nine hundred twenty-nine thousand, four hundred eight".