10177332480 has 720 divisors, whose sum is σ = 42856302720. Its totient is φ = 2257403904.

The previous prime is 10177332479. The next prime is 10177332509. The reversal of 10177332480 is 8423377101.

10177332480 is a `hidden beast` number, since 1 + 0 + 177 + 3 + 3 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26852931 + ... + 26853309.

Almost surely, 2^10177332480 is an apocalyptic number.

10177332480 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 10177332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21428151360).

10177332480 is an abundant number, since it is smaller than the sum of its proper divisors (32678970240).

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

10177332480 is an equidigital number, since it uses as much as digits as its factorization.

10177332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10177332480 in words is "ten billion, one hundred seventy-seven million, three hundred thirty-two thousand, four hundred eighty".