7968496032 has 432 divisors, whose sum is σ = 28099431360. Its totient is φ = 2129670144.

The previous prime is 7968496031. The next prime is 7968496033. The reversal of 7968496032 is 2306948697.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7968496031) and next prime (7968496033).

It is a self number, because there is not a number n which added to its sum of digits gives 7968496032.

It is not an unprimeable number, because it can be changed into a prime (7968496031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30298333 + ... + 30298595.

It is an arithmetic number, because the mean of its divisors is an integer number (65044980).

Almost surely, 2^7968496032 is an apocalyptic number.

7968496032 is a gapful number since it is divisible by the number (72) 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 7968496032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049715680).

7968496032 is an abundant number, since it is smaller than the sum of its proper divisors (20130935328).

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

7968496032 is a wasteful number, since it uses less digits than its factorization.

7968496032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7968496032 is about 89266.4328401219. The cubic root of 7968496032 is about 1997.3712155935.

The spelling of 7968496032 in words is "seven billion, nine hundred sixty-eight million, four hundred ninety-six thousand, thirty-two".