7904851968 has 288 divisors, whose sum is σ = 23884398720. Its totient is φ = 2319482880.

The previous prime is 7904851921. The next prime is 7904851973. The reversal of 7904851968 is 8691584097.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23881563 + ... + 23881893.

It is an arithmetic number, because the mean of its divisors is an integer number (82931940).

Almost surely, 2^7904851968 is an apocalyptic number.

7904851968 is a gapful number since it is divisible by the number (78) 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 7904851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942199360).

7904851968 is an abundant number, since it is smaller than the sum of its proper divisors (15979546752).

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

7904851968 is a wasteful number, since it uses less digits than its factorization.

7904851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 7904851968 is about 88909.2344360247. The cubic root of 7904851968 is about 1992.0393534265.

The spelling of 7904851968 in words is "seven billion, nine hundred four million, eight hundred fifty-one thousand, nine hundred sixty-eight".