4867011072 has 720 divisors, whose sum is σ = 18678179520. Its totient is φ = 1192181760.

The previous prime is 4867011053. The next prime is 4867011143. The reversal of 4867011072 is 2701107684.

4867011072 is a `hidden beast` number, since 486 + 70 + 1 + 107 + 2 = 666.

It is a super-4 number, since 4×4867011072⁴ (a number of 40 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113186283 + ... + 113186325.

It is an arithmetic number, because the mean of its divisors is an integer number (25941916).

Almost surely, 2^4867011072 is an apocalyptic number.

4867011072 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 4867011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9339089760).

4867011072 is an abundant number, since it is smaller than the sum of its proper divisors (13811168448).

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

4867011072 is a wasteful number, since it uses less digits than its factorization.

4867011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 4867011072 is about 69763.9668596905. The cubic root of 4867011072 is about 1694.6789879460.

The spelling of 4867011072 in words is "four billion, eight hundred sixty-seven million, eleven thousand, seventy-two".