1664783633408 has 528 divisors, whose sum is σ = 4351659984000. Its totient is φ = 630735372288.

The previous prime is 1664783633377. The next prime is 1664783633431. The reversal of 1664783633408 is 8043363874661.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

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, 2252751503 + ... + 2252752241.

Almost surely, 2^{1664783633408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664783633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175829992000).

1664783633408 is an abundant number, since it is smaller than the sum of its proper divisors (2686876350592).

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

1664783633408 is a wasteful number, since it uses less digits than its factorization.

1664783633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 59.

The spelling of 1664783633408 in words is "one trillion, six hundred sixty-four billion, seven hundred eighty-three million, six hundred thirty-three thousand, four hundred eight".