107447316480 has 1040 divisors, whose sum is σ = 464315681280. Its totient is φ = 23219011584.

The previous prime is 107447316469. The next prime is 107447316611. The reversal of 107447316480 is 84613744701.

107447316480 is a `hidden beast` number, since 10 + 7 + 4 + 473 + 164 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 220630797 + ... + 220631283.

Almost surely, 2^107447316480 is an apocalyptic number.

107447316480 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 107447316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232157840640).

107447316480 is an abundant number, since it is smaller than the sum of its proper divisors (356868364800).

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

107447316480 is an equidigital number, since it uses as much as digits as its factorization.

107447316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 107447316480 in words is "one hundred seven billion, four hundred forty-seven million, three hundred sixteen thousand, four hundred eighty".