7974918336 has 672 divisors, whose sum is σ = 29187648000. Its totient is φ = 1873428480.

The previous prime is 7974918293. The next prime is 7974918337. The reversal of 7974918336 is 6338194797.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (7974918337) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 89605780 + ... + 89605868.

It is an arithmetic number, because the mean of its divisors is an integer number (43434000).

Almost surely, 2^7974918336 is an apocalyptic number.

7974918336 is a gapful number since it is divisible by the number (76) 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 7974918336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824000).

7974918336 is an abundant number, since it is smaller than the sum of its proper divisors (21212729664).

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

7974918336 is a wasteful number, since it uses less digits than its factorization.

7974918336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 57.

The square root of 7974918336 is about 89302.3982656681. The cubic root of 7974918336 is about 1997.9076731809.

The spelling of 7974918336 in words is "seven billion, nine hundred seventy-four million, nine hundred eighteen thousand, three hundred thirty-six".