164464634880 has 1188 divisors, whose sum is σ = 719485651872. Its totient is φ = 34619719680.

The previous prime is 164464634759. The next prime is 164464634953. The reversal of 164464634880 is 88436464461.

It is a happy number.

164464634880 is a `hidden beast` number, since 1 + 6 + 4 + 464 + 63 + 48 + 80 = 666.

It is a super-2 number, since 2×164464634880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 381588265 + ... + 381588695.

Almost surely, 2^164464634880 is an apocalyptic number.

164464634880 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 164464634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359742825936).

164464634880 is an abundant number, since it is smaller than the sum of its proper divisors (555021016992).

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

164464634880 is a wasteful number, since it uses less digits than its factorization.

164464634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 164464634880 in words is "one hundred sixty-four billion, four hundred sixty-four million, six hundred thirty-four thousand, eight hundred eighty".