8671247446400 has 1536 divisors, whose sum is σ = 29259377280000. Its totient is φ = 2508157747200.

The previous prime is 8671247446399. The next prime is 8671247446457. The reversal of 8671247446400 is 46447421768.

It is a super-3 number, since 3×8671247446400³ (a number of 40 digits) contains 333 as substring.

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, 17035849346 + ... + 17035849854.

It is an arithmetic number, because the mean of its divisors is an integer number (19049073750).

Almost surely, 2^{8671247446400} is an apocalyptic number.

8671247446400 is a gapful number since it is divisible by the number (80) 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 8671247446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629688640000).

8671247446400 is an abundant number, since it is smaller than the sum of its proper divisors (20588129833600).

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

8671247446400 is a wasteful number, since it uses less digits than its factorization.

8671247446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 53.

The spelling of 8671247446400 in words is "eight trillion, six hundred seventy-one billion, two hundred forty-seven million, four hundred forty-six thousand, four hundred".