8421748358400 has 2592 divisors, whose sum is σ = 35427065856000. Its totient is φ = 1891202826240.

The previous prime is 8421748358371. The next prime is 8421748358483. The reversal of 8421748358400 is 48538471248.

8421748358400 is a `hidden beast` number, since 8 + 4 + 2 + 17 + 48 + 3 + 584 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66312979137 + ... + 66312979263.

Almost surely, 2^{8421748358400} is an apocalyptic number.

8421748358400 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 8421748358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713532928000).

8421748358400 is an abundant number, since it is smaller than the sum of its proper divisors (27005317497600).

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

8421748358400 is a wasteful number, since it uses less digits than its factorization.

8421748358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 8421748358400 in words is "eight trillion, four hundred twenty-one billion, seven hundred forty-eight million, three hundred fifty-eight thousand, four hundred".