663682538400 has 432 divisors, whose sum is σ = 2535276106944. Its totient is φ = 150353387520.

The previous prime is 663682538381. The next prime is 663682538459. The reversal of 663682538400 is 4835286366.

663682538400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13263829 + ... + 13313771.

It is an arithmetic number, because the mean of its divisors is an integer number (5868694692).

Almost surely, 2^663682538400 is an apocalyptic number.

663682538400 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 663682538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267638053472).

663682538400 is an abundant number, since it is smaller than the sum of its proper divisors (1871593568544).

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

663682538400 is a wasteful number, since it uses less digits than its factorization.

663682538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50093 (or 50073 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 663682538400 in words is "six hundred sixty-three billion, six hundred eighty-two million, five hundred thirty-eight thousand, four hundred".