993493670400 has 1440 divisors, whose sum is σ = 4528969555968. Its totient is φ = 201963110400.

The previous prime is 993493670357. The next prime is 993493670401. The reversal of 993493670400 is 4076394399.

993493670400 is a `hidden beast` number, since 9 + 93 + 4 + 93 + 67 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (993493670401) 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 143 ways as a sum of consecutive naturals, for example, 416907609 + ... + 416909991.

Almost surely, 2^993493670400 is an apocalyptic number.

993493670400 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 993493670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264484777984).

993493670400 is an abundant number, since it is smaller than the sum of its proper divisors (3535475885568).

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

993493670400 is a wasteful number, since it uses less digits than its factorization.

993493670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 993493670400 in words is "nine hundred ninety-three billion, four hundred ninety-three million, six hundred seventy thousand, four hundred".