7921199520 has 384 divisors, whose sum is σ = 30502241280. Its totient is φ = 1907712000.

The previous prime is 7921199483. The next prime is 7921199527. The reversal of 7921199520 is 259911297.

7921199520 is a `hidden beast` number, since 7 + 9 + 2 + 119 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7921199527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2638020 + ... + 2641020.

It is an arithmetic number, because the mean of its divisors is an integer number (79432920).

Almost surely, 2^7921199520 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 7921199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251120640).

7921199520 is an abundant number, since it is smaller than the sum of its proper divisors (22581041760).

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

7921199520 is a wasteful number, since it uses less digits than its factorization.

7921199520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 7921199520 is about 89001.1208918180. The cubic root of 7921199520 is about 1993.4116137484.

The spelling of 7921199520 in words is "seven billion, nine hundred twenty-one million, one hundred ninety-nine thousand, five hundred twenty".