1687954232664 has 320 divisors, whose sum is σ = 5702582476800. Its totient is φ = 455688032256.

The previous prime is 1687954232659. The next prime is 1687954232689. The reversal of 1687954232664 is 4662324597861.

1687954232664 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 9 + 542 + 3 + 26 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32982904 + ... + 33034040.

It is an arithmetic number, because the mean of its divisors is an integer number (17820570240).

Almost surely, 2^{1687954232664} is an apocalyptic number.

1687954232664 is a gapful number since it is divisible by the number (14) 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 1687954232664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851291238400).

1687954232664 is an abundant number, since it is smaller than the sum of its proper divisors (4014628244136).

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

1687954232664 is a wasteful number, since it uses less digits than its factorization.

1687954232664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51564 (or 51551 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 1687954232664 in words is "one trillion, six hundred eighty-seven billion, nine hundred fifty-four million, two hundred thirty-two thousand, six hundred sixty-four".