664983950400 has 1680 divisors, whose sum is σ = 3131557579392. Its totient is φ = 134369280000.

The previous prime is 664983950399. The next prime is 664983950413. The reversal of 664983950400 is 4059389466.

664983950400 is a `hidden beast` number, since 6 + 64 + 98 + 3 + 95 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 369229500 + ... + 369231300.

Almost surely, 2^664983950400 is an apocalyptic number.

664983950400 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 664983950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565778789696).

664983950400 is an abundant number, since it is smaller than the sum of its proper divisors (2466573628992).

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

664983950400 is a wasteful number, since it uses less digits than its factorization.

664983950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 664983950400 in words is "six hundred sixty-four billion, nine hundred eighty-three million, nine hundred fifty thousand, four hundred".