164419393320 has 1024 divisors, whose sum is σ = 715309056000. Its totient is φ = 32621875200.

The previous prime is 164419393291. The next prime is 164419393343. The reversal of 164419393320 is 23393914461.

It is a happy number.

164419393320 is a `hidden beast` number, since 1 + 6 + 441 + 93 + 93 + 32 + 0 = 666.

It is a super-3 number, since 3×164419393320³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 356657890 + ... + 356658350.

It is an arithmetic number, because the mean of its divisors is an integer number (698544000).

Almost surely, 2^164419393320 is an apocalyptic number.

164419393320 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 164419393320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357654528000).

164419393320 is an abundant number, since it is smaller than the sum of its proper divisors (550889662680).

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

164419393320 is a wasteful number, since it uses less digits than its factorization.

164419393320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 164419393320 in words is "one hundred sixty-four billion, four hundred nineteen million, three hundred ninety-three thousand, three hundred twenty".