164724917760 has 480 divisors, whose sum is σ = 637158281760. Its totient is φ = 40545681408.

The previous prime is 164724917759. The next prime is 164724917767. The reversal of 164724917760 is 67719427461.

It is a happy number.

164724917760 is a `hidden beast` number, since 1 + 6 + 472 + 49 + 1 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 164724917697 and 164724917706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164724917767) 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, 8076856 + ... + 8097224.

It is an arithmetic number, because the mean of its divisors is an integer number (1327413087).

Almost surely, 2^164724917760 is an apocalyptic number.

164724917760 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 164724917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318579140880).

164724917760 is an abundant number, since it is smaller than the sum of its proper divisors (472433364000).

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

164724917760 is an equidigital number, since it uses as much as digits as its factorization.

164724917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20420 (or 20392 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 164724917760 in words is "one hundred sixty-four billion, seven hundred twenty-four million, nine hundred seventeen thousand, seven hundred sixty".