7999254144 has 320 divisors, whose sum is σ = 28643313600. Its totient is φ = 2164838400.

The previous prime is 7999254139. The next prime is 7999254169. The reversal of 7999254144 is 4414529997.

7999254144 is a `hidden beast` number, since 7 + 9 + 9 + 92 + 541 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3265920) is a multiple of the sum of its prime divisors (5832).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1376044 + ... + 1381844.

It is an arithmetic number, because the mean of its divisors is an integer number (89510355).

Almost surely, 2^7999254144 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 7999254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321656800).

7999254144 is an abundant number, since it is smaller than the sum of its proper divisors (20644059456).

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

7999254144 is a wasteful number, since it uses less digits than its factorization.

7999254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5832 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 7999254144 is about 89438.5495410117. The cubic root of 7999254144 is about 1999.9378434016.

The spelling of 7999254144 in words is "seven billion, nine hundred ninety-nine million, two hundred fifty-four thousand, one hundred forty-four".