1693536768 has 640 divisors, whose sum is σ = 6568151040. Its totient is φ = 418037760.

The previous prime is 1693536707. The next prime is 1693536773. The reversal of 1693536768 is 8676353961.

1693536768 is a `hidden beast` number, since 16 + 93 + 536 + 7 + 6 + 8 = 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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39384555 + ... + 39384597.

It is an arithmetic number, because the mean of its divisors is an integer number (10262736).

Almost surely, 2^1693536768 is an apocalyptic number.

1693536768 is a gapful number since it is divisible by the number (18) 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 1693536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284075520).

1693536768 is an abundant number, since it is smaller than the sum of its proper divisors (4874614272).

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

1693536768 is a wasteful number, since it uses less digits than its factorization.

1693536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 1693536768 is about 41152.6034170379. The cubic root of 1693536768 is about 1191.9687693573.

It can be divided in two parts, 169353 and 6768, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 1693536768 in words is "one billion, six hundred ninety-three million, five hundred thirty-six thousand, seven hundred sixty-eight".