10563464772 has 96 divisors (see below), whose sum is σ = 31362508800. Its totient is φ = 3012024096.

The previous prime is 10563464761. The next prime is 10563464801. The reversal of 10563464772 is 27746436501.

10563464772 is a `hidden beast` number, since 1 + 0 + 5 + 634 + 6 + 4 + 7 + 7 + 2 = 666.

It is a super-2 number, since 2×10563464772² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366379 + ... + 394157.

It is an arithmetic number, because the mean of its divisors is an integer number (326692800).

Almost surely, 2^10563464772 is an apocalyptic number.

10563464772 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 10563464772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681254400).

10563464772 is an abundant number, since it is smaller than the sum of its proper divisors (20799044028).

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

10563464772 is a wasteful number, since it uses less digits than its factorization.

10563464772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28302 (or 28294 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 10563464772 in words is "ten billion, five hundred sixty-three million, four hundred sixty-four thousand, seven hundred seventy-two".