10668390840 has 384 divisors, whose sum is σ = 37847347200. Its totient is φ = 2598266880.

The previous prime is 10668390839. The next prime is 10668390847. The reversal of 10668390840 is 4809386601.

It is a super-2 number, since 2×10668390840² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10668390847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22844287 + ... + 22844753.

It is an arithmetic number, because the mean of its divisors is an integer number (98560800).

Almost surely, 2^10668390840 is an apocalyptic number.

10668390840 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 10668390840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923673600).

10668390840 is an abundant number, since it is smaller than the sum of its proper divisors (27178956360).

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

10668390840 is a wasteful number, since it uses less digits than its factorization.

10668390840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10668390840 in words is "ten billion, six hundred sixty-eight million, three hundred ninety thousand, eight hundred forty".