6416167560 has 128 divisors (see below), whose sum is σ = 21020083200. Its totient is φ = 1553826560.

The previous prime is 6416167559. The next prime is 6416167579. The reversal of 6416167560 is 657616146.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1723381 + ... + 1727099.

It is an arithmetic number, because the mean of its divisors is an integer number (164219400).

Almost surely, 2^6416167560 is an apocalyptic number.

6416167560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6416167560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10510041600).

6416167560 is an abundant number, since it is smaller than the sum of its proper divisors (14603915640).

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

6416167560 is a wasteful number, since it uses less digits than its factorization.

6416167560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6416167560 is about 80100.9835145612. The cubic root of 6416167560 is about 1858.1976181038.

The spelling of 6416167560 in words is "six billion, four hundred sixteen million, one hundred sixty-seven thousand, five hundred sixty".