164387760537600 has 1152 divisors, whose sum is σ = 606300230161080. Its totient is φ = 42556415016960.

The previous prime is 164387760537593. The next prime is 164387760537667. The reversal of 164387760537600 is 6735067783461.

It is a happy number.

164387760537600 is a `hidden beast` number, since 1 + 6 + 4 + 38 + 7 + 7 + 6 + 0 + 537 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 78004224 + 164387682533376 = 8832^2 + 12821376^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37903562632 + ... + 37903566968.

Almost surely, 2^{164387760537600} is an apocalyptic number.

164387760537600 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 164387760537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303150115080540).

164387760537600 is an abundant number, since it is smaller than the sum of its proper divisors (441912469623480).

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

164387760537600 is an equidigital number, since it uses as much as digits as its factorization.

164387760537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 164387760537600 in words is "one hundred sixty-four trillion, three hundred eighty-seven billion, seven hundred sixty million, five hundred thirty-seven thousand, six hundred".