164877378336 has 192 divisors, whose sum is σ = 527102553600. Its totient is φ = 49725446400.

The previous prime is 164877378329. The next prime is 164877378353. The reversal of 164877378336 is 633873778461.

It is a happy number.

164877378336 is a `hidden beast` number, since 1 + 6 + 487 + 73 + 7 + 83 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1964235 + ... + 2046453.

It is an arithmetic number, because the mean of its divisors is an integer number (2745325800).

Almost surely, 2^164877378336 is an apocalyptic number.

164877378336 is a gapful number since it is divisible by the number (16) 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 164877378336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263551276800).

164877378336 is an abundant number, since it is smaller than the sum of its proper divisors (362225175264).

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

164877378336 is a wasteful number, since it uses less digits than its factorization.

164877378336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82460 (or 82446 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 164877378336 in words is "one hundred sixty-four billion, eight hundred seventy-seven million, three hundred seventy-eight thousand, three hundred thirty-six".