1664247882960 has 960 divisors, whose sum is σ = 6592831365120. Its totient is φ = 386781972480.

The previous prime is 1664247882943. The next prime is 1664247882967. The reversal of 1664247882960 is 692887424661.

1664247882960 is a `hidden beast` number, since 1 + 6 + 6 + 424 + 78 + 82 + 9 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664247882967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2741758977 + ... + 2741759583.

It is an arithmetic number, because the mean of its divisors is an integer number (6867532672).

Almost surely, 2^{1664247882960} is an apocalyptic number.

1664247882960 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 1664247882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296415682560).

1664247882960 is an abundant number, since it is smaller than the sum of its proper divisors (4928583482160).

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

1664247882960 is a wasteful number, since it uses less digits than its factorization.

1664247882960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1220 counting only the distinct ones).

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

The spelling of 1664247882960 in words is "one trillion, six hundred sixty-four billion, two hundred forty-seven million, eight hundred eighty-two thousand, nine hundred sixty".