4872635712 has 168 divisors, whose sum is σ = 16187513472. Its totient is φ = 1372492800.

The previous prime is 4872635701. The next prime is 4872635723. The reversal of 4872635712 is 2175362784.

4872635712 is a `hidden beast` number, since 4 + 8 + 7 + 2 + 635 + 7 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4872635701) and next prime (4872635723).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277762 + ... + 294782.

Almost surely, 2^4872635712 is an apocalyptic number.

4872635712 is a gapful number since it is divisible by the number (42) 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 4872635712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093756736).

4872635712 is an abundant number, since it is smaller than the sum of its proper divisors (11314877760).

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

4872635712 is a wasteful number, since it uses less digits than its factorization.

4872635712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17117 (or 17104 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 4872635712 is about 69804.2671475032. The cubic root of 4872635712 is about 1695.3315643436.

The spelling of 4872635712 in words is "four billion, eight hundred seventy-two million, six hundred thirty-five thousand, seven hundred twelve".