164699805593680 has 240 divisors, whose sum is σ = 469283550626880. Its totient is φ = 53451607394304.

The previous prime is 164699805593663. The next prime is 164699805593681. The reversal of 164699805593680 is 86395508996461.

It is a self number, because there is not a number n which added to its sum of digits gives 164699805593680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164699805593681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87927847 + ... + 89781433.

It is an arithmetic number, because the mean of its divisors is an integer number (1955348127612).

Almost surely, 2^{164699805593680} is an apocalyptic number.

164699805593680 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 164699805593680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234641775313440).

164699805593680 is an abundant number, since it is smaller than the sum of its proper divisors (304583745033200).

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

164699805593680 is a wasteful number, since it uses less digits than its factorization.

164699805593680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854826 (or 1854813 counting only the distinct ones).

The product of its (nonzero) digits is 3023308800, while the sum is 79.

The spelling of 164699805593680 in words is "one hundred sixty-four trillion, six hundred ninety-nine billion, eight hundred five million, five hundred ninety-three thousand, six hundred eighty".