7742197664 has 48 divisors (see below), whose sum is σ = 16152981768. Its totient is φ = 3640246272.

The previous prime is 7742197637. The next prime is 7742197667. The reversal of 7742197664 is 4667912477.

It can be written as a sum of positive squares in 4 ways, for example, as 7565520400 + 176677264 = 86980^2 + 13292^2 .

It is not an unprimeable number, because it can be changed into a prime (7742197667) 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 7 ways as a sum of consecutive naturals, for example, 700082 + ... + 711054.

Almost surely, 2^7742197664 is an apocalyptic number.

It is an amenable number.

7742197664 is an abundant number, since it is smaller than the sum of its proper divisors (8410784104).

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

7742197664 is a wasteful number, since it uses less digits than its factorization.

7742197664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12297 (or 12289 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 53.

The square root of 7742197664 is about 87989.7588586308. The cubic root of 7742197664 is about 1978.2814786229.

The spelling of 7742197664 in words is "seven billion, seven hundred forty-two million, one hundred ninety-seven thousand, six hundred sixty-four".