6464861020800 has 3456 divisors, whose sum is σ = 32238383486400. Its totient is φ = 1215096422400.

The previous prime is 6464861020757. The next prime is 6464861020801. The reversal of 6464861020800 is 80201684646.

6464861020800 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 8 + 610 + 20 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6464861020801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5925628255 + ... + 5925629345.

Almost surely, 2^{6464861020800} is an apocalyptic number.

6464861020800 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 6464861020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119191743200).

6464861020800 is an abundant number, since it is smaller than the sum of its proper divisors (25773522465600).

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

6464861020800 is a wasteful number, since it uses less digits than its factorization.

6464861020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6464861020800 in words is "six trillion, four hundred sixty-four billion, eight hundred sixty-one million, twenty thousand, eight hundred".