4723826688 has 392 divisors, whose sum is σ = 16330836528. Its totient is φ = 1337720832.

The previous prime is 4723826677. The next prime is 4723826747. The reversal of 4723826688 is 8866283274.

4723826688 is a `hidden beast` number, since 472 + 38 + 2 + 66 + 88 = 666.

It is a super-2 number, since 2×4723826688² = 44629077156522098688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 41803720 + ... + 41803832.

Almost surely, 2^4723826688 is an apocalyptic number.

4723826688 is a gapful number since it is divisible by the number (48) 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 4723826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165418264).

4723826688 is an abundant number, since it is smaller than the sum of its proper divisors (11607009840).

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

4723826688 is an frugal number, since it uses more digits than its factorization.

4723826688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 125 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 4723826688 is about 68730.1003054702. The cubic root of 4723826688 is about 1677.8945052045.

The spelling of 4723826688 in words is "four billion, seven hundred twenty-three million, eight hundred twenty-six thousand, six hundred eighty-eight".