164476376064 has 1320 divisors, whose sum is σ = 673605602208. Its totient is φ = 39295549440.

The previous prime is 164476376047. The next prime is 164476376153. The reversal of 164476376064 is 460673674461.

164476376064 is a `hidden beast` number, since 16 + 447 + 63 + 76 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 164476376064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 581188467 + ... + 581188749.

Almost surely, 2^164476376064 is an apocalyptic number.

164476376064 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 164476376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336802801104).

164476376064 is an abundant number, since it is smaller than the sum of its proper divisors (509129226144).

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

164476376064 is a wasteful number, since it uses less digits than its factorization.

164476376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 164476376064 in words is "one hundred sixty-four billion, four hundred seventy-six million, three hundred seventy-six thousand, sixty-four".