164497753728 has 864 divisors, whose sum is σ = 628920845280. Its totient is φ = 40391239680.

The previous prime is 164497753723. The next prime is 164497753733. The reversal of 164497753728 is 827357794461.

164497753728 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 9 + 77 + 537 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (164497753723) and next prime (164497753733).

It is a super-3 number, since 3×164497753728³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164497753723) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 352243351 + ... + 352243817.

It is an arithmetic number, because the mean of its divisors is an integer number (727917645).

Almost surely, 2^164497753728 is an apocalyptic number.

164497753728 is a gapful number since it is divisible by the number (18) 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 164497753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314460422640).

164497753728 is an abundant number, since it is smaller than the sum of its proper divisors (464423091552).

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

164497753728 is a wasteful number, since it uses less digits than its factorization.

164497753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 509 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 164497753728 in words is "one hundred sixty-four billion, four hundred ninety-seven million, seven hundred fifty-three thousand, seven hundred twenty-eight".