164296742400 has 720 divisors, whose sum is σ = 680738572800. Its totient is φ = 37063802880.

The previous prime is 164296742383. The next prime is 164296742413. The reversal of 164296742400 is 4247692461.

164296742400 is a `hidden beast` number, since 164 + 2 + 9 + 67 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63704311 + ... + 63706889.

It is an arithmetic number, because the mean of its divisors is an integer number (945470240).

Almost surely, 2^164296742400 is an apocalyptic number.

164296742400 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 164296742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340369286400).

164296742400 is an abundant number, since it is smaller than the sum of its proper divisors (516441830400).

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

164296742400 is a wasteful number, since it uses less digits than its factorization.

164296742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 164296742400 in words is "one hundred sixty-four billion, two hundred ninety-six million, seven hundred forty-two thousand, four hundred".