9876633480 has 1024 divisors, whose sum is σ = 42865459200. Its totient is φ = 1970749440.

The previous prime is 9876633479. The next prime is 9876633499. The reversal of 9876633480 is 843366789.

9876633480 is a `hidden beast` number, since 98 + 76 + 6 + 3 + 3 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147412407 + ... + 147412473.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

Almost surely, 2^9876633480 is an apocalyptic number.

9876633480 is a gapful number since it is divisible by the number (90) 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 9876633480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432729600).

9876633480 is an abundant number, since it is smaller than the sum of its proper divisors (32988825720).

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

9876633480 is a wasteful number, since it uses less digits than its factorization.

9876633480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 9876633480 is about 99381.2531617508. The cubic root of 9876633480 is about 2145.5385023838.

The spelling of 9876633480 in words is "nine billion, eight hundred seventy-six million, six hundred thirty-three thousand, four hundred eighty".