164350635789600 has 1152 divisors, whose sum is σ = 644000641320960. Its totient is φ = 40211251200000.

The previous prime is 164350635789539. The next prime is 164350635789611. The reversal of 164350635789600 is 6987536053461.

164350635789600 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 50 + 6 + 3 + 578 + 9 + 6 + 0 + 0 = 666.

164350635789600 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 2×164350635789600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41077387600 + ... + 41077391600.

It is an arithmetic number, because the mean of its divisors is an integer number (559028334480).

Almost surely, 2^{164350635789600} is an apocalyptic number.

164350635789600 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 164350635789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322000320660480).

164350635789600 is an abundant number, since it is smaller than the sum of its proper divisors (479650005531360).

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

164350635789600 is a wasteful number, since it uses less digits than its factorization.

164350635789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 164350635789600 in words is "one hundred sixty-four trillion, three hundred fifty billion, six hundred thirty-five million, seven hundred eighty-nine thousand, six hundred".