663728676098400 has 864 divisors, whose sum is σ = 2655810367007616. Its totient is φ = 160417635840000.

The previous prime is 663728676098381. The next prime is 663728676098417. The reversal of 663728676098400 is 4890676827366.

663728676098400 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 2 + 8 + 6 + 7 + 609 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×663728676098400³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 707341540 + ... + 708279260.

It is an arithmetic number, because the mean of its divisors is an integer number (3073854591444).

Almost surely, 2^{663728676098400} is an apocalyptic number.

663728676098400 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 663728676098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327905183503808).

663728676098400 is an abundant number, since it is smaller than the sum of its proper divisors (1992081690909216).

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

663728676098400 is a wasteful number, since it uses less digits than its factorization.

663728676098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938098 (or 938073 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 663728676098400 in words is "six hundred sixty-three trillion, seven hundred twenty-eight billion, six hundred seventy-six million, ninety-eight thousand, four hundred".