7974675520 has 168 divisors, whose sum is σ = 23390251416. Its totient is φ = 2573254656.

The previous prime is 7974675491. The next prime is 7974675589. The reversal of 7974675520 is 255764797.

It can be written as a sum of positive squares in 4 ways, for example, as 3398423616 + 4576251904 = 58296^2 + 67648^2 .

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, 251602 + ... + 281518.

It is an arithmetic number, because the mean of its divisors is an integer number (139227687).

Almost surely, 2^7974675520 is an apocalyptic number.

7974675520 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 7974675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695125708).

7974675520 is an abundant number, since it is smaller than the sum of its proper divisors (15415575896).

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

7974675520 is a wasteful number, since it uses less digits than its factorization.

7974675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29965 (or 29948 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The square root of 7974675520 is about 89301.0387397593. The cubic root of 7974675520 is about 1997.8873959044.

The spelling of 7974675520 in words is "seven billion, nine hundred seventy-four million, six hundred seventy-five thousand, five hundred twenty".