164157734400 has 960 divisors, whose sum is σ = 629689268736. Its totient is φ = 37306368000.

The previous prime is 164157734371. The next prime is 164157734401. The reversal of 164157734400 is 4437751461.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164157734401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592627062 + ... + 592627338.

Almost surely, 2^164157734400 is an apocalyptic number.

164157734400 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 164157734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314844634368).

164157734400 is an abundant number, since it is smaller than the sum of its proper divisors (465531534336).

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

164157734400 is a wasteful number, since it uses less digits than its factorization.

164157734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 164157734400 in words is "one hundred sixty-four billion, one hundred fifty-seven million, seven hundred thirty-four thousand, four hundred".