8394907412800 has 336 divisors, whose sum is σ = 21038845481280. Its totient is φ = 3296579420160.

The previous prime is 8394907412791. The next prime is 8394907412803. The reversal of 8394907412800 is 82147094938.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8394907412803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14911025319 + ... + 14911025881.

Almost surely, 2^{8394907412800} is an apocalyptic number.

8394907412800 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 8394907412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519422740640).

8394907412800 is an abundant number, since it is smaller than the sum of its proper divisors (12643938068480).

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

8394907412800 is a wasteful number, since it uses less digits than its factorization.

8394907412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 8394907412800 in words is "eight trillion, three hundred ninety-four billion, nine hundred seven million, four hundred twelve thousand, eight hundred".