4079275680 has 192 divisors, whose sum is σ = 13570381440. Its totient is φ = 1027178496.

The previous prime is 4079275649. The next prime is 4079275703. The reversal of 4079275680 is 865729704.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3948444 + ... + 3949476.

It is an arithmetic number, because the mean of its divisors is an integer number (70679070).

Almost surely, 2^4079275680 is an apocalyptic number.

4079275680 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 4079275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785190720).

4079275680 is an abundant number, since it is smaller than the sum of its proper divisors (9491105760).

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

4079275680 is a wasteful number, since it uses less digits than its factorization.

4079275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 4079275680 is about 63869.2076042908. The cubic root of 4079275680 is about 1597.8193835868.

The spelling of 4079275680 in words is "four billion, seventy-nine million, two hundred seventy-five thousand, six hundred eighty".