1663607884680 has 1536 divisors, whose sum is σ = 7020172800000. Its totient is φ = 349280128512.

The previous prime is 1663607884669. The next prime is 1663607884693. The reversal of 1663607884680 is 864887063661.

1663607884680 is a `hidden beast` number, since 1 + 66 + 36 + 0 + 7 + 88 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15547737187 + ... + 15547737293.

It is an arithmetic number, because the mean of its divisors is an integer number (4570425000).

Almost surely, 2^{1663607884680} is an apocalyptic number.

1663607884680 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 1663607884680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510086400000).

1663607884680 is an abundant number, since it is smaller than the sum of its proper divisors (5356564915320).

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

1663607884680 is a wasteful number, since it uses less digits than its factorization.

1663607884680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 1663607884680 in words is "one trillion, six hundred sixty-three billion, six hundred seven million, eight hundred eighty-four thousand, six hundred eighty".