10432769760 has 576 divisors, whose sum is σ = 43240780800. Its totient is φ = 2301281280.

The previous prime is 10432769701. The next prime is 10432769771. The reversal of 10432769760 is 6796723401.

10432769760 is a `hidden beast` number, since 1 + 0 + 432 + 76 + 97 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 29060461 + ... + 29060819.

It is an arithmetic number, because the mean of its divisors is an integer number (75070800).

Almost surely, 2^10432769760 is an apocalyptic number.

10432769760 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 10432769760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620390400).

10432769760 is an abundant number, since it is smaller than the sum of its proper divisors (32808011040).

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

10432769760 is a wasteful number, since it uses less digits than its factorization.

10432769760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10432769760 in words is "ten billion, four hundred thirty-two million, seven hundred sixty-nine thousand, seven hundred sixty".