7974668601 has 45 divisors (see below), whose sum is σ = 12358870329. Its totient is φ = 4955133888.

The previous prime is 7974668579. The next prime is 7974668609. The reversal of 7974668601 is 1068664797.

It is a happy number.

The square root of 7974668601 is 89301.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2474963001 + 5499705600 = 49749^2 + 74160^2 .

It is not a de Polignac number, because 7974668601 - 2¹⁹ = 7974144313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7974668609) 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 44 ways as a sum of consecutive naturals, for example, 77423916 + ... + 77424018.

Almost surely, 2^7974668601 is an apocalyptic number.

7974668601 is the 89301-st square number.

7974668601 is the 44651-st centered octagonal number.

It is an amenable number.

7974668601 is a deficient number, since it is larger than the sum of its proper divisors (4384201728).

7974668601 is an frugal number, since it uses more digits than its factorization.

7974668601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The cubic root of 7974668601 is about 1997.8868181008.

The spelling of 7974668601 in words is "seven billion, nine hundred seventy-four million, six hundred sixty-eight thousand, six hundred one".