164760617798400 has 1728 divisors, whose sum is σ = 605157871861760. Its totient is φ = 39228663398400.

The previous prime is 164760617798191. The next prime is 164760617798407. The reversal of 164760617798400 is 4897716067461.

It is a super-2 number, since 2×164760617798400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164760617798407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268777516494 + ... + 268777517106.

Almost surely, 2^{164760617798400} is an apocalyptic number.

164760617798400 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 164760617798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302578935930880).

164760617798400 is an abundant number, since it is smaller than the sum of its proper divisors (440397254063360).

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

164760617798400 is a wasteful number, since it uses less digits than its factorization.

164760617798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 66.

The spelling of 164760617798400 in words is "one hundred sixty-four trillion, seven hundred sixty billion, six hundred seventeen million, seven hundred ninety-eight thousand, four hundred".