6464337122880 has 1344 divisors, whose sum is σ = 28756487185920. Its totient is φ = 1338057916416.

The previous prime is 6464337122869. The next prime is 6464337122899. The reversal of 6464337122880 is 882217334646.

6464337122880 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 337 + 1 + 228 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 541713394 + ... + 541725326.

Almost surely, 2^{6464337122880} is an apocalyptic number.

6464337122880 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 6464337122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378243592960).

6464337122880 is an abundant number, since it is smaller than the sum of its proper divisors (22292150063040).

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

6464337122880 is a wasteful number, since it uses less digits than its factorization.

6464337122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 6464337122880 in words is "six trillion, four hundred sixty-four billion, three hundred thirty-seven million, one hundred twenty-two thousand, eight hundred eighty".