4170307680 has 864 divisors, whose sum is σ = 18822585600. Its totient is φ = 862202880.

The previous prime is 4170307667. The next prime is 4170307709. The reversal of 4170307680 is 867030714.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4170307680² = 34782932291733964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20956221 + ... + 20956419.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^4170307680 is an apocalyptic number.

4170307680 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 4170307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411292800).

4170307680 is an abundant number, since it is smaller than the sum of its proper divisors (14652277920).

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

4170307680 is a wasteful number, since it uses less digits than its factorization.

4170307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4170307680 is about 64577.9194462008. The cubic root of 4170307680 is about 1609.6175525109.

The spelling of 4170307680 in words is "four billion, one hundred seventy million, three hundred seven thousand, six hundred eighty".