9911976480 has 480 divisors, whose sum is σ = 42336556416. Its totient is φ = 2131992576.

The previous prime is 9911976479. The next prime is 9911976491. The reversal of 9911976480 is 846791199.

9911976480 is a `hidden beast` number, since 9 + 91 + 1 + 9 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 1539027 + ... + 1545453.

Almost surely, 2^9911976480 is an apocalyptic number.

9911976480 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 9911976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168278208).

9911976480 is an abundant number, since it is smaller than the sum of its proper divisors (32424579936).

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

9911976480 is a wasteful number, since it uses less digits than its factorization.

9911976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 9911976480 is about 99558.9095962787. The cubic root of 9911976480 is about 2148.0946870029.

The spelling of 9911976480 in words is "nine billion, nine hundred eleven million, nine hundred seventy-six thousand, four hundred eighty".