164062630764032 has 960 divisors, whose sum is σ = 463335884605440. Its totient is φ = 56989694361600.

The previous prime is 164062630764031. The next prime is 164062630764073. The reversal of 164062630764032 is 230467036260461.

164062630764032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164062630764031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75292624319 + ... + 75292626497.

It is an arithmetic number, because the mean of its divisors is an integer number (482641546464).

Almost surely, 2^{164062630764032} 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 164062630764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231667942302720).

164062630764032 is an abundant number, since it is smaller than the sum of its proper divisors (299273253841408).

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

164062630764032 is a wasteful number, since it uses less digits than its factorization.

164062630764032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 50.

The spelling of 164062630764032 in words is "one hundred sixty-four trillion, sixty-two billion, six hundred thirty million, seven hundred sixty-four thousand, thirty-two".