7935967872 has 576 divisors, whose sum is σ = 28443018240. Its totient is φ = 2194698240.

The previous prime is 7935967867. The next prime is 7935967873. The reversal of 7935967872 is 2787695397.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (40007520) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (7935967873) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 62487873 + ... + 62487999.

It is an arithmetic number, because the mean of its divisors is an integer number (49380240).

Almost surely, 2^7935967872 is an apocalyptic number.

7935967872 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 7935967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221509120).

7935967872 is an abundant number, since it is smaller than the sum of its proper divisors (20507050368).

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

7935967872 is a wasteful number, since it uses less digits than its factorization.

7935967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The square root of 7935967872 is about 89084.0494813746. The cubic root of 7935967872 is about 1994.6496891835.

The spelling of 7935967872 in words is "seven billion, nine hundred thirty-five million, nine hundred sixty-seven thousand, eight hundred seventy-two".