663034673400 has 576 divisors, whose sum is σ = 2394470181600. Its totient is φ = 151388160000.

The previous prime is 663034673377. The next prime is 663034673419. The reversal of 663034673400 is 4376430366.

It is a super-2 number, since 2×663034673400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86317560 + ... + 86325240.

Almost surely, 2^663034673400 is an apocalyptic number.

663034673400 is a gapful number since it is divisible by the number (60) 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 663034673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197235090800).

663034673400 is an abundant number, since it is smaller than the sum of its proper divisors (1731435508200).

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

663034673400 is a wasteful number, since it uses less digits than its factorization.

663034673400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 42.

The spelling of 663034673400 in words is "six hundred sixty-three billion, thirty-four million, six hundred seventy-three thousand, four hundred".