10967408640 has 448 divisors, whose sum is σ = 40011217920. Its totient is φ = 2848849920.

The previous prime is 10967408633. The next prime is 10967408663. The reversal of 10967408640 is 4680476901.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51978135 + ... + 51978345.

Almost surely, 2^10967408640 is an apocalyptic number.

10967408640 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 10967408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20005608960).

10967408640 is an abundant number, since it is smaller than the sum of its proper divisors (29043809280).

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

10967408640 is an equidigital number, since it uses as much as digits as its factorization.

10967408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10967408640 in words is "ten billion, nine hundred sixty-seven million, four hundred eight thousand, six hundred forty".