64267531801200 has 960 divisors, whose sum is σ = 281883558297600. Its totient is φ = 13542814310400.

The previous prime is 64267531801171. The next prime is 64267531801349. The reversal of 64267531801200 is 210813576246.

64267531801200 is a `hidden beast` number, since 6 + 4 + 26 + 7 + 531 + 80 + 12 + 0 + 0 = 666.

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

It is a congruent number.

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, 795044785 + ... + 795125615.

It is an arithmetic number, because the mean of its divisors is an integer number (293628706560).

Almost surely, 2^{64267531801200} is an apocalyptic number.

64267531801200 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 64267531801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140941779148800).

64267531801200 is an abundant number, since it is smaller than the sum of its proper divisors (217616026496400).

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

64267531801200 is a wasteful number, since it uses less digits than its factorization.

64267531801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81687 (or 81670 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 64267531801200 in words is "sixty-four trillion, two hundred sixty-seven billion, five hundred thirty-one million, eight hundred one thousand, two hundred".