10432160640 has 512 divisors, whose sum is σ = 40926643200. Its totient is φ = 2490163200.

The previous prime is 10432160621. The next prime is 10432160671. The reversal of 10432160640 is 4606123401.

10432160640 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 16 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13495294 + ... + 13496066.

It is an arithmetic number, because the mean of its divisors is an integer number (79934850).

Almost surely, 2^10432160640 is an apocalyptic number.

10432160640 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 10432160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20463321600).

10432160640 is an abundant number, since it is smaller than the sum of its proper divisors (30494482560).

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

10432160640 is a wasteful number, since it uses less digits than its factorization.

10432160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10432160640 in words is "ten billion, four hundred thirty-two million, one hundred sixty thousand, six hundred forty".