7949251674 has 288 divisors, whose sum is σ = 23071112064. Its totient is φ = 1955923200.

The previous prime is 7949251637. The next prime is 7949251733. The reversal of 7949251674 is 4761529497.

7949251674 is a `hidden beast` number, since 79 + 492 + 5 + 16 + 74 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7949251674.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11339524 + ... + 11340224.

It is an arithmetic number, because the mean of its divisors is an integer number (80108028).

Almost surely, 2^7949251674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7949251674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535556032).

7949251674 is an abundant number, since it is smaller than the sum of its proper divisors (15121860390).

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

7949251674 is a wasteful number, since it uses less digits than its factorization.

7949251674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 7949251674 is about 89158.5759980497. The cubic root of 7949251674 is about 1995.7619988496.

The spelling of 7949251674 in words is "seven billion, nine hundred forty-nine million, two hundred fifty-one thousand, six hundred seventy-four".