10609154640 has 900 divisors, whose sum is σ = 46447985844. Its totient is φ = 2162184192.

The previous prime is 10609154579. The next prime is 10609154693. The reversal of 10609154640 is 4645190601.

10609154640 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 1 + 5 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6115865616 + 4493289024 = 78204^2 + 67032^2 .

It is a super-2 number, since 2×10609154640² (a number of 21 digits) contains 22 as substring.

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 = 10609154595 and 10609154604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 558376551 + ... + 558376569.

Almost surely, 2^10609154640 is an apocalyptic number.

10609154640 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 10609154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23223992922).

10609154640 is an abundant number, since it is smaller than the sum of its proper divisors (35838831204).

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

10609154640 is a wasteful number, since it uses less digits than its factorization.

10609154640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10609154640 in words is "ten billion, six hundred nine million, one hundred fifty-four thousand, six hundred forty".