993360775680 has 1600 divisors, whose sum is σ = 4455902803968. Its totient is φ = 205913456640.

The previous prime is 993360775663. The next prime is 993360775747. The reversal of 993360775680 is 86577063399.

993360775680 is a `hidden beast` number, since 9 + 9 + 3 + 3 + 60 + 7 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1151054929 + ... + 1151055791.

Almost surely, 2^993360775680 is an apocalyptic number.

993360775680 is a gapful number since it is divisible by the number (90) 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 993360775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227951401984).

993360775680 is an abundant number, since it is smaller than the sum of its proper divisors (3462542028288).

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

993360775680 is a wasteful number, since it uses less digits than its factorization.

993360775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 993360775680 in words is "nine hundred ninety-three billion, three hundred sixty million, seven hundred seventy-five thousand, six hundred eighty".