164735643072 has 896 divisors, whose sum is σ = 619392614400. Its totient is φ = 37241487360.

The previous prime is 164735643067. The next prime is 164735643073. The reversal of 164735643072 is 270346537461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164735643073) 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, 366894304 + ... + 366894752.

It is an arithmetic number, because the mean of its divisors is an integer number (691286400).

Almost surely, 2^164735643072 is an apocalyptic number.

164735643072 is a gapful number since it is divisible by the number (12) 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 164735643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309696307200).

164735643072 is an abundant number, since it is smaller than the sum of its proper divisors (454656971328).

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

164735643072 is a wasteful number, since it uses less digits than its factorization.

164735643072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 164735643072 in words is "one hundred sixty-four billion, seven hundred thirty-five million, six hundred forty-three thousand, seventy-two".