7974187992 has 128 divisors (see below), whose sum is σ = 22511808000. Its totient is φ = 2615068800.

The previous prime is 7974187987. The next prime is 7974187999. The reversal of 7974187992 is 2997814797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7974187999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3554023 + ... + 3556265.

It is an arithmetic number, because the mean of its divisors is an integer number (175873500).

Almost surely, 2^7974187992 is an apocalyptic number.

7974187992 is a gapful number since it is divisible by the number (72) 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 7974187992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255904000).

7974187992 is an abundant number, since it is smaller than the sum of its proper divisors (14537620008).

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

7974187992 is a wasteful number, since it uses less digits than its factorization.

7974187992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2508 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 63.

The square root of 7974187992 is about 89298.3090097455. The cubic root of 7974187992 is about 1997.8466817757.

The spelling of 7974187992 in words is "seven billion, nine hundred seventy-four million, one hundred eighty-seven thousand, nine hundred ninety-two".