7966518801 has 12 divisors (see below), whose sum is σ = 11283605712. Its totient is φ = 4998599488.

The previous prime is 7966518779. The next prime is 7966518821. The reversal of 7966518801 is 1088156697.

It is not a de Polignac number, because 7966518801 - 2¹³ = 7966510609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7966518821) 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 11 ways as a sum of consecutive naturals, for example, 4593435 + ... + 4595168.

It is an arithmetic number, because the mean of its divisors is an integer number (940300476).

Almost surely, 2^7966518801 is an apocalyptic number.

It is an amenable number.

7966518801 is a deficient number, since it is larger than the sum of its proper divisors (3317086911).

7966518801 is a wasteful number, since it uses less digits than its factorization.

7966518801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188640 (or 9188623 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 7966518801 is about 89255.3572677853. The cubic root of 7966518801 is about 1997.2059986792.

The spelling of 7966518801 in words is "seven billion, nine hundred sixty-six million, five hundred eighteen thousand, eight hundred one".