7921704960 has 896 divisors, whose sum is σ = 33028128000. Its totient is φ = 1783627776.

The previous prime is 7921704929. The next prime is 7921704983. The reversal of 7921704960 is 694071297.

7921704960 is a `hidden beast` number, since 7 + 92 + 1 + 70 + 496 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273162226 + ... + 273162254.

It is an arithmetic number, because the mean of its divisors is an integer number (36861750).

Almost surely, 2^7921704960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7921704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514064000).

7921704960 is an abundant number, since it is smaller than the sum of its proper divisors (25106423040).

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

7921704960 is a wasteful number, since it uses less digits than its factorization.

7921704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 7921704960 is about 89003.9603613232. The cubic root of 7921704960 is about 1993.4540117267.

The spelling of 7921704960 in words is "seven billion, nine hundred twenty-one million, seven hundred four thousand, nine hundred sixty".