10692440640 has 560 divisors, whose sum is σ = 44894260224. Its totient is φ = 2363904000.

The previous prime is 10692440623. The next prime is 10692440663. The reversal of 10692440640 is 4604429601.

10692440640 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 2 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×10692440640³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10692440595 and 10692440604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5623690 + ... + 5625590.

Almost surely, 2^10692440640 is an apocalyptic number.

10692440640 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 10692440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22447130112).

10692440640 is an abundant number, since it is smaller than the sum of its proper divisors (34201819584).

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

10692440640 is a wasteful number, since it uses less digits than its factorization.

10692440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10692440640 in words is "ten billion, six hundred ninety-two million, four hundred forty thousand, six hundred forty".