164076707520 has 336 divisors, whose sum is σ = 616643269632. Its totient is φ = 39712696320.

The previous prime is 164076707513. The next prime is 164076707521. The reversal of 164076707520 is 25707670461.

164076707520 is a `hidden beast` number, since 1 + 64 + 0 + 7 + 67 + 0 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (164076707521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21633649 + ... + 21641231.

Almost surely, 2^164076707520 is an apocalyptic number.

164076707520 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 164076707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308321634816).

164076707520 is an abundant number, since it is smaller than the sum of its proper divisors (452566562112).

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

164076707520 is a wasteful number, since it uses less digits than its factorization.

164076707520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 164076707520 in words is "one hundred sixty-four billion, seventy-six million, seven hundred seven thousand, five hundred twenty".