164419600464 has 160 divisors (see below), whose sum is σ = 539718670080. Its totient is φ = 46946304000.

The previous prime is 164419600459. The next prime is 164419600469. The reversal of 164419600464 is 464006914461.

164419600464 is a `hidden beast` number, since 1 + 64 + 41 + 96 + 0 + 0 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (164419600459) and next prime (164419600469).

It is a super-3 number, since 3×164419600464³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164419600469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4824444 + ... + 4858404.

It is an arithmetic number, because the mean of its divisors is an integer number (3373241688).

Almost surely, 2^164419600464 is an apocalyptic number.

164419600464 is a gapful number since it is divisible by the number (14) 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 164419600464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269859335040).

164419600464 is an abundant number, since it is smaller than the sum of its proper divisors (375299069616).

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

164419600464 is a wasteful number, since it uses less digits than its factorization.

164419600464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35586 (or 35574 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 164419600464 in words is "one hundred sixty-four billion, four hundred nineteen million, six hundred thousand, four hundred sixty-four".