7917646464 has 192 divisors, whose sum is σ = 28042035840. Its totient is φ = 2088142848.

The previous prime is 7917646421. The next prime is 7917646469. The reversal of 7917646464 is 4646467197.

7917646464 is a `hidden beast` number, since 7 + 9 + 176 + 4 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7917646464.

It is not an unprimeable number, because it can be changed into a prime (7917646469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67069 + ... + 142595.

It is an arithmetic number, because the mean of its divisors is an integer number (146052270).

Almost surely, 2^7917646464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7917646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021017920).

7917646464 is an abundant number, since it is smaller than the sum of its proper divisors (20124389376).

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

7917646464 is a wasteful number, since it uses less digits than its factorization.

7917646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75567 (or 75552 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 7917646464 is about 88981.1579155947. The cubic root of 7917646464 is about 1993.1135207502.

The spelling of 7917646464 in words is "seven billion, nine hundred seventeen million, six hundred forty-six thousand, four hundred sixty-four".