4088693664 has 432 divisors, whose sum is σ = 14053253760. Its totient is φ = 1114214400.

The previous prime is 4088693663. The next prime is 4088693671. The reversal of 4088693664 is 4663968804.

It is a self number, because there is not a number n which added to its sum of digits gives 4088693664.

It is not an unprimeable number, because it can be changed into a prime (4088693663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51755577 + ... + 51755655.

It is an arithmetic number, because the mean of its divisors is an integer number (32530680).

Almost surely, 2^4088693664 is an apocalyptic number.

4088693664 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 4088693664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026626880).

4088693664 is an abundant number, since it is smaller than the sum of its proper divisors (9964560096).

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

4088693664 is a wasteful number, since it uses less digits than its factorization.

4088693664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4088693664 is about 63942.8937724905. The cubic root of 4088693664 is about 1599.0480879436.

The spelling of 4088693664 in words is "four billion, eighty-eight million, six hundred ninety-three thousand, six hundred sixty-four".