164766393286440 has 288 divisors, whose sum is σ = 546066465870240. Its totient is φ = 39742508931840.

The previous prime is 164766393286433. The next prime is 164766393286477. The reversal of 164766393286440 is 44682393667461.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 574863247 + ... + 575149793.

It is an arithmetic number, because the mean of its divisors is an integer number (1896064117605).

Almost surely, 2^{164766393286440} is an apocalyptic number.

164766393286440 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 164766393286440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273033232935120).

164766393286440 is an abundant number, since it is smaller than the sum of its proper divisors (381300072583800).

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

164766393286440 is a wasteful number, since it uses less digits than its factorization.

164766393286440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286981 (or 286767 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 69.

The spelling of 164766393286440 in words is "one hundred sixty-four trillion, seven hundred sixty-six billion, three hundred ninety-three million, two hundred eighty-six thousand, four hundred forty".