10463412960 has 1728 divisors, whose sum is σ = 52515013824. Its totient is φ = 1857945600.

The previous prime is 10463412937. The next prime is 10463412961. The reversal of 10463412960 is 6921436401.

10463412960 is a `hidden beast` number, since 1 + 0 + 4 + 634 + 12 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10463412961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 171531330 + ... + 171531390.

It is an arithmetic number, because the mean of its divisors is an integer number (30390633).

Almost surely, 2^10463412960 is an apocalyptic number.

10463412960 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 10463412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257506912).

10463412960 is an abundant number, since it is smaller than the sum of its proper divisors (42051600864).

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

10463412960 is a wasteful number, since it uses less digits than its factorization.

10463412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10463412960 in words is "ten billion, four hundred sixty-three million, four hundred twelve thousand, nine hundred sixty".