693884664 has 192 divisors, whose sum is σ = 2145024000. Its totient is φ = 207662400.

The previous prime is 693884627. The next prime is 693884671. The reversal of 693884664 is 466488396.

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 self number, because there is not a number n which added to its sum of digits gives 693884664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3632809 + ... + 3632999.

It is an arithmetic number, because the mean of its divisors is an integer number (11172000).

Almost surely, 2^693884664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693884664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512000).

693884664 is an abundant number, since it is smaller than the sum of its proper divisors (1451139336).

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

693884664 is a wasteful number, since it uses less digits than its factorization.

693884664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

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

The square root of 693884664 is about 26341.6906063373. The cubic root of 693884664 is about 885.3108014953.

The spelling of 693884664 in words is "six hundred ninety-three million, eight hundred eighty-four thousand, six hundred sixty-four".