1663973582400 has 336 divisors, whose sum is σ = 6070098096000. Its totient is φ = 443411896320.

The previous prime is 1663973582377. The next prime is 1663973582489. The reversal of 1663973582400 is 42853793661.

1663973582400 is a `hidden beast` number, since 1 + 6 + 6 + 397 + 3 + 5 + 8 + 240 + 0 = 666.

It is a Cunningham number, because it is equal to 1289951²-1.

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 47 ways as a sum of consecutive naturals, for example, 64484701 + ... + 64510499.

It is a 1-persistent number, because it is pandigital, but 2⋅1663973582400 = 3327947164800 is not.

Almost surely, 2^{1663973582400} is an apocalyptic number.

1663973582400 is a gapful number since it is divisible by the number (10) 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 1663973582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035049048000).

1663973582400 is an abundant number, since it is smaller than the sum of its proper divisors (4406124513600).

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

1663973582400 is a wasteful number, since it uses less digits than its factorization.

1663973582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27323 (or 27302 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1663973582400 in words is "one trillion, six hundred sixty-three billion, nine hundred seventy-three million, five hundred eighty-two thousand, four hundred".