1663640814528 has 1344 divisors, whose sum is σ = 6625731280896. Its totient is φ = 400619520000.

The previous prime is 1663640814491. The next prime is 1663640814541. The reversal of 1663640814528 is 8254180463661.

1663640814528 is a `hidden beast` number, since 1 + 6 + 6 + 36 + 4 + 0 + 81 + 4 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1445386753 + ... + 1445387903.

It is an arithmetic number, because the mean of its divisors is an integer number (4929859584).

Almost surely, 2^{1663640814528} is an apocalyptic number.

1663640814528 is a gapful number since it is divisible by the number (18) 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 1663640814528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312865640448).

1663640814528 is an abundant number, since it is smaller than the sum of its proper divisors (4962090466368).

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

1663640814528 is a wasteful number, since it uses less digits than its factorization.

1663640814528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1663640814528 in words is "one trillion, six hundred sixty-three billion, six hundred forty million, eight hundred fourteen thousand, five hundred twenty-eight".