164207543760 has 640 divisors, whose sum is σ = 648678481920. Its totient is φ = 37822464000.

The previous prime is 164207543701. The next prime is 164207543761. The reversal of 164207543760 is 67345702461.

164207543760 is a `hidden beast` number, since 1 + 6 + 4 + 207 + 5 + 437 + 6 + 0 = 666.

164207543760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164207543761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91174860 + ... + 91176660.

It is an arithmetic number, because the mean of its divisors is an integer number (1013560128).

Almost surely, 2^164207543760 is an apocalyptic number.

164207543760 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 164207543760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324339240960).

164207543760 is an abundant number, since it is smaller than the sum of its proper divisors (484470938160).

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

164207543760 is a wasteful number, since it uses less digits than its factorization.

164207543760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 164207543760 in words is "one hundred sixty-four billion, two hundred seven million, five hundred forty-three thousand, seven hundred sixty".