164993241600 has 2400 divisors, whose sum is σ = 755912082816. Its totient is φ = 35035545600.

The previous prime is 164993241533. The next prime is 164993241607. The reversal of 164993241600 is 6142399461.

164993241600 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 9 + 32 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (164993241607) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4459276782 + ... + 4459276818.

Almost surely, 2^164993241600 is an apocalyptic number.

164993241600 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 164993241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377956041408).

164993241600 is an abundant number, since it is smaller than the sum of its proper divisors (590918841216).

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

164993241600 is a wasteful number, since it uses less digits than its factorization.

164993241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 164993241600 in words is "one hundred sixty-four billion, nine hundred ninety-three million, two hundred forty-one thousand, six hundred".