10472474880 has 576 divisors, whose sum is σ = 43126110720. Its totient is φ = 2356936704.

The previous prime is 10472474869. The next prime is 10472474911. The reversal of 10472474880 is 8847427401.

10472474880 is a `hidden beast` number, since 104 + 72 + 474 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×10472474880³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17659864 + ... + 17660456.

It is an arithmetic number, because the mean of its divisors is an integer number (74871720).

Almost surely, 2^10472474880 is an apocalyptic number.

10472474880 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 10472474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563055360).

10472474880 is an abundant number, since it is smaller than the sum of its proper divisors (32653635840).

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

10472474880 is an equidigital number, since it uses as much as digits as its factorization.

10472474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 10472474880 in words is "ten billion, four hundred seventy-two million, four hundred seventy-four thousand, eight hundred eighty".