164770277760 has 1280 divisors, whose sum is σ = 710188300800. Its totient is φ = 35911434240.

The previous prime is 164770277717. The next prime is 164770277761. The reversal of 164770277760 is 67772077461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164770277697 and 164770277706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164770277761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 222963471 + ... + 222964209.

It is an arithmetic number, because the mean of its divisors is an integer number (554834610).

Almost surely, 2^164770277760 is an apocalyptic number.

164770277760 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 164770277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355094150400).

164770277760 is an abundant number, since it is smaller than the sum of its proper divisors (545418023040).

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

164770277760 is a wasteful number, since it uses less digits than its factorization.

164770277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 164770277760 in words is "one hundred sixty-four billion, seven hundred seventy million, two hundred seventy-seven thousand, seven hundred sixty".