4727126880 has 288 divisors, whose sum is σ = 18513278784. Its totient is φ = 1075949568.

The previous prime is 4727126867. The next prime is 4727126893. The reversal of 4727126880 is 886217274.

4727126880 is a `hidden beast` number, since 47 + 271 + 268 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4727126867) and next prime (4727126893).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2791314 + ... + 2793006.

It is an arithmetic number, because the mean of its divisors is an integer number (64282218).

Almost surely, 2^4727126880 is an apocalyptic number.

4727126880 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 4727126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256639392).

4727126880 is an abundant number, since it is smaller than the sum of its proper divisors (13786151904).

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

4727126880 is a wasteful number, since it uses less digits than its factorization.

4727126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4727126880 is about 68754.1044592976. The cubic root of 4727126880 is about 1678.2851549446.

The spelling of 4727126880 in words is "four billion, seven hundred twenty-seven million, one hundred twenty-six thousand, eight hundred eighty".