4167679680 has 168 divisors, whose sum is σ = 14797820544. Its totient is φ = 1075507200.

The previous prime is 4167679661. The next prime is 4167679699. The reversal of 4167679680 is 869767614.

It is a happy number.

4167679680 is a `hidden beast` number, since 416 + 7 + 67 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4167679661) and next prime (4167679699).

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 23 ways as a sum of consecutive naturals, for example, 65940 + ... + 112620.

Almost surely, 2^4167679680 is an apocalyptic number.

4167679680 is a gapful number since it is divisible by the number (40) 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 4167679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398910272).

4167679680 is an abundant number, since it is smaller than the sum of its proper divisors (10630140864).

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

4167679680 is a wasteful number, since it uses less digits than its factorization.

4167679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46735 (or 46722 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4167679680 is about 64557.5687274544. The cubic root of 4167679680 is about 1609.2793709251.

The spelling of 4167679680 in words is "four billion, one hundred sixty-seven million, six hundred seventy-nine thousand, six hundred eighty".