993876718464 has 576 divisors, whose sum is σ = 3497792865840. Its totient is φ = 280043495424.

The previous prime is 993876718463. The next prime is 993876718529. The reversal of 993876718464 is 464817678399.

993876718464 is a `hidden beast` number, since 9 + 9 + 387 + 6 + 7 + 184 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 993876718392 and 993876718401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993876718463) 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, 111254542 + ... + 111263474.

Almost surely, 2^993876718464 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 993876718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748896432920).

993876718464 is an abundant number, since it is smaller than the sum of its proper divisors (2503916147376).

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

993876718464 is an equidigital number, since it uses as much as digits as its factorization.

993876718464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9018 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 993876718464 in words is "nine hundred ninety-three billion, eight hundred seventy-six million, seven hundred eighteen thousand, four hundred sixty-four".