10640386680 has 512 divisors, whose sum is σ = 41556049920. Its totient is φ = 2132697600.

The previous prime is 10640386667. The next prime is 10640386693. The reversal of 10640386680 is 8668304601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10640386667) and next prime (10640386693).

It is a super-2 number, since 2×10640386680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34659087 + ... + 34659393.

It is an arithmetic number, because the mean of its divisors is an integer number (81164160).

Almost surely, 2^10640386680 is an apocalyptic number.

10640386680 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 10640386680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20778024960).

10640386680 is an abundant number, since it is smaller than the sum of its proper divisors (30915663240).

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

10640386680 is a wasteful number, since it uses less digits than its factorization.

10640386680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 10640386680 in words is "ten billion, six hundred forty million, three hundred eighty-six thousand, six hundred eighty".