9792276480 has 576 divisors, whose sum is σ = 39801041280. Its totient is φ = 2179989504.

The previous prime is 9792276467. The next prime is 9792276509. The reversal of 9792276480 is 846722979.

9792276480 is a `hidden beast` number, since 9 + 7 + 92 + 2 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9792276480² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 27739984 + ... + 27740336.

It is an arithmetic number, because the mean of its divisors is an integer number (69099030).

Almost surely, 2^9792276480 is an apocalyptic number.

9792276480 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 9792276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19900520640).

9792276480 is an abundant number, since it is smaller than the sum of its proper divisors (30008764800).

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

9792276480 is a wasteful number, since it uses less digits than its factorization.

9792276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9792276480 is about 98955.9320101630. The cubic root of 9792276480 is about 2139.4126317650.

The spelling of 9792276480 in words is "nine billion, seven hundred ninety-two million, two hundred seventy-six thousand, four hundred eighty".