10678033440 has 576 divisors, whose sum is σ = 40647640320. Its totient is φ = 2616053760.

The previous prime is 10678033417. The next prime is 10678033441. The reversal of 10678033440 is 4433087601.

10678033440 is a `hidden beast` number, since 106 + 7 + 80 + 33 + 440 = 666.

10678033440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10678033440² (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 a junction number, because it is equal to n+sod(n) for n = 10678033395 and 10678033404.

It is not an unprimeable number, because it can be changed into a prime (10678033441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63940237 + ... + 63940403.

It is an arithmetic number, because the mean of its divisors is an integer number (70568820).

Almost surely, 2^10678033440 is an apocalyptic number.

10678033440 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 10678033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20323820160).

10678033440 is an abundant number, since it is smaller than the sum of its proper divisors (29969606880).

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

10678033440 is a wasteful number, since it uses less digits than its factorization.

10678033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10678033440 in words is "ten billion, six hundred seventy-eight million, thirty-three thousand, four hundred forty".