7872382224000 has 2560 divisors, whose sum is σ = 36098039577600. Its totient is φ = 1660538880000.

The previous prime is 7872382223989. The next prime is 7872382224011. The reversal of 7872382224000 is 4222832787.

7872382224000 is a `hidden beast` number, since 7 + 8 + 7 + 238 + 2 + 2 + 2 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7872382223989) and next prime (7872382224011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6051023350 + ... + 6051024650.

It is an arithmetic number, because the mean of its divisors is an integer number (14100796710).

Almost surely, 2^{7872382224000} is an apocalyptic number.

7872382224000 is a gapful number since it is divisible by the number (70) 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 7872382224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18049019788800).

7872382224000 is an abundant number, since it is smaller than the sum of its proper divisors (28225657353600).

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

7872382224000 is a wasteful number, since it uses less digits than its factorization.

7872382224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 7872382224000 in words is "seven trillion, eight hundred seventy-two billion, three hundred eighty-two million, two hundred twenty-four thousand".