164791804320 has 480 divisors, whose sum is σ = 683259857280. Its totient is φ = 36876072960.

The previous prime is 164791804301. The next prime is 164791804351. The reversal of 164791804320 is 23408197461.

164791804320 is a `hidden beast` number, since 16 + 47 + 91 + 80 + 432 + 0 = 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1808821 + ... + 1897739.

It is an arithmetic number, because the mean of its divisors is an integer number (1423458036).

Almost surely, 2^164791804320 is an apocalyptic number.

164791804320 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 164791804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341629928640).

164791804320 is an abundant number, since it is smaller than the sum of its proper divisors (518468052960).

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

164791804320 is a wasteful number, since it uses less digits than its factorization.

164791804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88970 (or 88953 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 164791804320 in words is "one hundred sixty-four billion, seven hundred ninety-one million, eight hundred four thousand, three hundred twenty".