7993251616 has 72 divisors (see below), whose sum is σ = 18429371100. Its totient is φ = 3402588672.

The previous prime is 7993251613. The next prime is 7993251647. The reversal of 7993251616 is 6161523997.

It can be written as a sum of positive squares in 2 ways, for example, as 7993075216 + 176400 = 89404^2 + 420^2 .

It is a super-2 number, since 2×7993251616² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 7993251616.

It is not an unprimeable number, because it can be changed into a prime (7993251613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216526 + ... + 250738.

Almost surely, 2^7993251616 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 7993251616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214685550).

7993251616 is an abundant number, since it is smaller than the sum of its proper divisors (10436119484).

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

7993251616 is a wasteful number, since it uses less digits than its factorization.

7993251616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34386 (or 34371 counting only the distinct ones).

The product of its digits is 612360, while the sum is 49.

The square root of 7993251616 is about 89404.9865275981. The cubic root of 7993251616 is about 1999.4374764651.

The spelling of 7993251616 in words is "seven billion, nine hundred ninety-three million, two hundred fifty-one thousand, six hundred sixteen".