164664074824704 has 4224 divisors, whose sum is σ = 678588572712960. Its totient is φ = 38424438374400.

The previous prime is 164664074824661. The next prime is 164664074824709. The reversal of 164664074824704 is 407428470466461.

164664074824704 is a `hidden beast` number, since 1 + 6 + 46 + 6 + 40 + 7 + 4 + 82 + 470 + 4 = 666.

164664074824704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164664074824704² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164664074824709) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 706712767372 + ... + 706712767604.

Almost surely, 2^{164664074824704} is an apocalyptic number.

164664074824704 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 164664074824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339294286356480).

164664074824704 is an abundant number, since it is smaller than the sum of its proper divisors (513924497888256).

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

164664074824704 is a wasteful number, since it uses less digits than its factorization.

164664074824704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 164664074824704 in words is "one hundred sixty-four trillion, six hundred sixty-four billion, seventy-four million, eight hundred twenty-four thousand, seven hundred four".