4879167840 has 336 divisors, whose sum is σ = 17600360400. Its totient is φ = 1277254656.

The previous prime is 4879167809. The next prime is 4879167869. The reversal of 4879167840 is 487619784.

It is a happy number.

4879167840 is a `hidden beast` number, since 487 + 91 + 6 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6881406 + ... + 6882114.

It is an arithmetic number, because the mean of its divisors is an integer number (52382025).

Almost surely, 2^4879167840 is an apocalyptic number.

4879167840 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 4879167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800180200).

4879167840 is an abundant number, since it is smaller than the sum of its proper divisors (12721192560).

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

4879167840 is an equidigital number, since it uses as much as digits as its factorization.

4879167840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4879167840 is about 69851.0403644785. The cubic root of 4879167840 is about 1696.0887984538.

The spelling of 4879167840 in words is "four billion, eight hundred seventy-nine million, one hundred sixty-seven thousand, eight hundred forty".