164312759520 has 768 divisors, whose sum is σ = 722949857280. Its totient is φ = 33926750208.

The previous prime is 164312759519. The next prime is 164312759539. The reversal of 164312759520 is 25957213461.

164312759520 is a `hidden beast` number, since 1 + 6 + 4 + 31 + 2 + 7 + 595 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18472194 + ... + 18481086.

It is an arithmetic number, because the mean of its divisors is an integer number (941340960).

Almost surely, 2^164312759520 is an apocalyptic number.

164312759520 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 164312759520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361474928640).

164312759520 is an abundant number, since it is smaller than the sum of its proper divisors (558637097760).

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

164312759520 is a wasteful number, since it uses less digits than its factorization.

164312759520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 164312759520 in words is "one hundred sixty-four billion, three hundred twelve million, seven hundred fifty-nine thousand, five hundred twenty".