993763764 has 288 divisors, whose sum is σ = 3317932800. Its totient is φ = 243855360.

The previous prime is 993763759. The next prime is 993763769. The reversal of 993763764 is 467367399.

It is an interprime number because it is at equal distance from previous prime (993763759) and next prime (993763769).

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 993763764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993763769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2360274 + ... + 2360694.

It is an arithmetic number, because the mean of its divisors is an integer number (11520600).

Almost surely, 2^993763764 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 993763764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658966400).

993763764 is an abundant number, since it is smaller than the sum of its proper divisors (2324169036).

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

993763764 is a wasteful number, since it uses less digits than its factorization.

993763764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 498 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 993763764 is about 31524.0188427808. The cubic root of 993763764 is about 997.9169184509.

The spelling of 993763764 in words is "nine hundred ninety-three million, seven hundred sixty-three thousand, seven hundred sixty-four".