247920940800 has 648 divisors, whose sum is σ = 972722054304. Its totient is φ = 59865661440.

The previous prime is 247920940789. The next prime is 247920940829. The reversal of 247920940800 is 8049029742.

247920940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247920940800² (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39683277 + ... + 39689523.

Almost surely, 2^247920940800 is an apocalyptic number.

247920940800 is a gapful number since it is divisible by the number (20) 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 247920940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486361027152).

247920940800 is an abundant number, since it is smaller than the sum of its proper divisors (724801113504).

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

247920940800 is a wasteful number, since it uses less digits than its factorization.

247920940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 247920940800 in words is "two hundred forty-seven billion, nine hundred twenty million, nine hundred forty thousand, eight hundred".