4280017680 has 60 divisors (see below), whose sum is σ = 14373728460. Its totient is φ = 1141337856.

The previous prime is 4280017673. The next prime is 4280017727. The reversal of 4280017680 is 867100824.

It can be written as a sum of positive squares in 2 ways, for example, as 3388636944 + 891380736 = 58212^2 + 29856^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4280017680² = 36637102682225164800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2971515 + ... + 2972954.

It is an arithmetic number, because the mean of its divisors is an integer number (239562141).

Almost surely, 2^4280017680 is an apocalyptic number.

4280017680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4280017680 is an abundant number, since it is smaller than the sum of its proper divisors (10093710780).

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

4280017680 is a wasteful number, since it uses less digits than its factorization.

4280017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944488 (or 5944479 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4280017680 is about 65421.8440583877. The cubic root of 4280017680 is about 1623.6105114794.

The spelling of 4280017680 in words is "four billion, two hundred eighty million, seventeen thousand, six hundred eighty".