7816417164 has 48 divisors (see below), whose sum is σ = 20271190240. Its totient is φ = 2604648960.

The previous prime is 7816417153. The next prime is 7816417247. The reversal of 7816417164 is 4617146187.

7816417164 is a `hidden beast` number, since 78 + 1 + 6 + 417 + 164 = 666.

It is a super-2 number, since 2×7816417164² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 400104 + ... + 419184.

Almost surely, 2^7816417164 is an apocalyptic number.

It is an amenable number.

7816417164 is an abundant number, since it is smaller than the sum of its proper divisors (12454773076).

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

7816417164 is a wasteful number, since it uses less digits than its factorization.

7816417164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22887 (or 22879 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 7816417164 is about 88410.5036972418. The cubic root of 7816417164 is about 1984.5828920961.

The spelling of 7816417164 in words is "seven billion, eight hundred sixteen million, four hundred seventeen thousand, one hundred sixty-four".