8746490880 has 264 divisors, whose sum is σ = 30769554192. Its totient is φ = 2296774656.

The previous prime is 8746490849. The next prime is 8746490891. The reversal of 8746490880 is 880946478.

8746490880 is a `hidden beast` number, since 8 + 74 + 6 + 490 + 8 + 80 = 666.

It is a super-2 number, since 2×8746490880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3085944 + ... + 3088776.

Almost surely, 2^8746490880 is an apocalyptic number.

8746490880 is a gapful number since it is divisible by the number (80) 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 8746490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15384777096).

8746490880 is an abundant number, since it is smaller than the sum of its proper divisors (22023063312).

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

8746490880 is a wasteful number, since it uses less digits than its factorization.

8746490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 8746490880 is about 93522.6757529959. The cubic root of 8746490880 is about 2060.3671447918.

The spelling of 8746490880 in words is "eight billion, seven hundred forty-six million, four hundred ninety thousand, eight hundred eighty".