7967928640 has 224 divisors, whose sum is σ = 23411566080. Its totient is φ = 2522505216.

The previous prime is 7967928629. The next prime is 7967928671. The reversal of 7967928640 is 468297697.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491414 + ... + 1496746.

It is an arithmetic number, because the mean of its divisors is an integer number (104515920).

Almost surely, 2^7967928640 is an apocalyptic number.

7967928640 is a gapful number since it is divisible by the number (70) 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 7967928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705783040).

7967928640 is an abundant number, since it is smaller than the sum of its proper divisors (15443637440).

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

7967928640 is a wasteful number, since it uses less digits than its factorization.

7967928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The square root of 7967928640 is about 89263.2547020329. The cubic root of 7967928640 is about 1997.3238072601.

The spelling of 7967928640 in words is "seven billion, nine hundred sixty-seven million, nine hundred twenty-eight thousand, six hundred forty".