10768453632 has 312 divisors, whose sum is σ = 33393068800. Its totient is φ = 3463741440.

The previous prime is 10768453607. The next prime is 10768453669. The reversal of 10768453632 is 23635486701.

10768453632 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 8 + 4 + 5 + 3 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30854994 + ... + 30855342.

Almost surely, 2^10768453632 is an apocalyptic number.

10768453632 is a gapful number since it is divisible by the number (12) 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 10768453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696534400).

10768453632 is an abundant number, since it is smaller than the sum of its proper divisors (22624615168).

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

10768453632 is an frugal number, since it uses more digits than its factorization.

10768453632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10768453632 in words is "ten billion, seven hundred sixty-eight million, four hundred fifty-three thousand, six hundred thirty-two".