4686526782 has 256 divisors, whose sum is σ = 13521530880. Its totient is φ = 1171501056.

The previous prime is 4686526769. The next prime is 4686526807. The reversal of 4686526782 is 2876256864.

4686526782 is a `hidden beast` number, since 46 + 8 + 6 + 526 + 78 + 2 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5468098 + ... + 5468954.

It is an arithmetic number, because the mean of its divisors is an integer number (52818480).

Almost surely, 2^4686526782 is an apocalyptic number.

4686526782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4686526782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760765440).

4686526782 is an abundant number, since it is smaller than the sum of its proper divisors (8835004098).

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

4686526782 is a wasteful number, since it uses less digits than its factorization.

4686526782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 4686526782 is about 68458.2119398396. The cubic root of 4686526782 is about 1673.4665442205.

The spelling of 4686526782 in words is "four billion, six hundred eighty-six million, five hundred twenty-six thousand, seven hundred eighty-two".