4869051264 has 768 divisors, whose sum is σ = 19247155200. Its totient is φ = 1186928640.

The previous prime is 4869051259. The next prime is 4869051307. The reversal of 4869051264 is 4621509684.

4869051264 is a `hidden beast` number, since 48 + 6 + 90 + 512 + 6 + 4 = 666.

It is a super-2 number, since 2×4869051264² = 47415320422919995392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45505099 + ... + 45505205.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^4869051264 is an apocalyptic number.

4869051264 is a gapful number since it is divisible by the number (44) 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 4869051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623577600).

4869051264 is an abundant number, since it is smaller than the sum of its proper divisors (14378103936).

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

4869051264 is a wasteful number, since it uses less digits than its factorization.

4869051264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4869051264 is about 69778.5874319622. The cubic root of 4869051264 is about 1694.9157511575.

The spelling of 4869051264 in words is "four billion, eight hundred sixty-nine million, fifty-one thousand, two hundred sixty-four".