664232110080 has 1536 divisors, whose sum is σ = 2866693939200. Its totient is φ = 127166054400.

The previous prime is 664232110049. The next prime is 664232110099. The reversal of 664232110080 is 80011232466.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×664232110080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1577748270 + ... + 1577748690.

It is an arithmetic number, because the mean of its divisors is an integer number (1866337200).

Almost surely, 2^664232110080 is an apocalyptic number.

664232110080 is a gapful number since it is divisible by the number (60) 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 664232110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433346969600).

664232110080 is an abundant number, since it is smaller than the sum of its proper divisors (2202461829120).

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

664232110080 is a wasteful number, since it uses less digits than its factorization.

664232110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 664232110080 in words is "six hundred sixty-four billion, two hundred thirty-two million, one hundred ten thousand, eighty".