10456692480 has 648 divisors, whose sum is σ = 40438013616. Its totient is φ = 2492006400.

The previous prime is 10456692473. The next prime is 10456692511. The reversal of 10456692480 is 8429665401.

10456692480 is a `hidden beast` number, since 1 + 0 + 4 + 566 + 9 + 2 + 4 + 80 = 666.

It is a super-3 number, since 3×10456692480³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 71 ways as a sum of consecutive naturals, for example, 79822015 + ... + 79822145.

It is an arithmetic number, because the mean of its divisors is an integer number (62404342).

Almost surely, 2^10456692480 is an apocalyptic number.

10456692480 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 10456692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20219006808).

10456692480 is an abundant number, since it is smaller than the sum of its proper divisors (29981321136).

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

10456692480 is a wasteful number, since it uses less digits than its factorization.

10456692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10456692480 in words is "ten billion, four hundred fifty-six million, six hundred ninety-two thousand, four hundred eighty".