10645307680 has 96 divisors (see below), whose sum is σ = 29038939776. Its totient is φ = 3612155904.

The previous prime is 10645307627. The next prime is 10645307731. The reversal of 10645307680 is 8670354601.

It is a happy number.

It is a super-2 number, since 2×10645307680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59647 + ... + 157633.

It is an arithmetic number, because the mean of its divisors is an integer number (302488956).

Almost surely, 2^10645307680 is an apocalyptic number.

10645307680 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 10645307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519469888).

10645307680 is an abundant number, since it is smaller than the sum of its proper divisors (18393632096).

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

10645307680 is an equidigital number, since it uses as much as digits as its factorization.

10645307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98106 (or 98098 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10645307680 in words is "ten billion, six hundred forty-five million, three hundred seven thousand, six hundred eighty".