164784456090 has 192 divisors, whose sum is σ = 455516006400. Its totient is φ = 41214033792.

The previous prime is 164784456077. The next prime is 164784456101. The reversal of 164784456090 is 90654487461.

164784456090 is a `hidden beast` number, since 1 + 6 + 4 + 78 + 4 + 4 + 560 + 9 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80815291 + ... + 80817329.

It is an arithmetic number, because the mean of its divisors is an integer number (2372479200).

Almost surely, 2^164784456090 is an apocalyptic number.

164784456090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164784456090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227758003200).

164784456090 is an abundant number, since it is smaller than the sum of its proper divisors (290731550310).

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

164784456090 is a wasteful number, since it uses less digits than its factorization.

164784456090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 164784456090 in words is "one hundred sixty-four billion, seven hundred eighty-four million, four hundred fifty-six thousand, ninety".