7974365056 has 192 divisors, whose sum is σ = 19789693200. Its totient is φ = 3181731840.

The previous prime is 7974365041. The next prime is 7974365081. The reversal of 7974365056 is 6505634797.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7974364994 and 7974365012.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7268700 + ... + 7269796.

Almost surely, 2^7974365056 is an apocalyptic number.

7974365056 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 7974365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894846600).

7974365056 is an abundant number, since it is smaller than the sum of its proper divisors (11815328144).

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

7974365056 is a wasteful number, since it uses less digits than its factorization.

7974365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 52.

The square root of 7974365056 is about 89299.3004227917. The cubic root of 7974365056 is about 1997.8614688239.

The spelling of 7974365056 in words is "seven billion, nine hundred seventy-four million, three hundred sixty-five thousand, fifty-six".