164069090640 has 480 divisors, whose sum is σ = 679044038400. Its totient is φ = 34571280384.

The previous prime is 164069090593. The next prime is 164069090657. The reversal of 164069090640 is 46090960461.

164069090640 is a `hidden beast` number, since 16 + 406 + 90 + 90 + 64 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78164311 + ... + 78166409.

It is an arithmetic number, because the mean of its divisors is an integer number (1414675080).

Almost surely, 2^164069090640 is an apocalyptic number.

164069090640 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 164069090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339522019200).

164069090640 is an abundant number, since it is smaller than the sum of its proper divisors (514974947760).

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

164069090640 is a wasteful number, since it uses less digits than its factorization.

164069090640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3322 counting only the distinct ones).

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

The spelling of 164069090640 in words is "one hundred sixty-four billion, sixty-nine million, ninety thousand, six hundred forty".