10676366640 has 120 divisors (see below), whose sum is σ = 36531434160. Its totient is φ = 2793303552.

The previous prime is 10676366629. The next prime is 10676366641. The reversal of 10676366640 is 4666367601.

10676366640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10676366640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10676366641) 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 23 ways as a sum of consecutive naturals, for example, 101730 + ... + 178049.

It is an arithmetic number, because the mean of its divisors is an integer number (304428618).

Almost surely, 2^10676366640 is an apocalyptic number.

10676366640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10676366640 is an abundant number, since it is smaller than the sum of its proper divisors (25855067520).

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

10676366640 is a wasteful number, since it uses less digits than its factorization.

10676366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279851 (or 279842 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 10676366640 in words is "ten billion, six hundred seventy-six million, three hundred sixty-six thousand, six hundred forty".