164106796677120 has 2304 divisors, whose sum is σ = 655804639526400. Its totient is φ = 39028323778560.

The previous prime is 164106796677073. The next prime is 164106796677133. The reversal of 164106796677120 is 21776697601461.

164106796677120 is a `hidden beast` number, since 1 + 6 + 410 + 6 + 7 + 96 + 6 + 7 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401239111476 + ... + 401239111884.

It is an arithmetic number, because the mean of its divisors is an integer number (284637430350).

Almost surely, 2^{164106796677120} is an apocalyptic number.

164106796677120 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 164106796677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327902319763200).

164106796677120 is an abundant number, since it is smaller than the sum of its proper divisors (491697842849280).

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

164106796677120 is a wasteful number, since it uses less digits than its factorization.

164106796677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 164106796677120 in words is "one hundred sixty-four trillion, one hundred six billion, seven hundred ninety-six million, six hundred seventy-seven thousand, one hundred twenty".