8032976640 has 216 divisors, whose sum is σ = 29931763680. Its totient is φ = 1977311232.

The previous prime is 8032976599. The next prime is 8032976681. The reversal of 8032976640 is 466792308.

It is an interprime number because it is at equal distance from previous prime (8032976599) and next prime (8032976681).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122941 + ... + 176579.

It is an arithmetic number, because the mean of its divisors is an integer number (138572980).

Almost surely, 2^8032976640 is an apocalyptic number.

8032976640 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 8032976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965881840).

8032976640 is an abundant number, since it is smaller than the sum of its proper divisors (21898787040).

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

8032976640 is a wasteful number, since it uses less digits than its factorization.

8032976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53679 (or 53662 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 8032976640 is about 89626.8745410661. The cubic root of 8032976640 is about 2002.7442860581.

The spelling of 8032976640 in words is "eight billion, thirty-two million, nine hundred seventy-six thousand, six hundred forty".