8357063968000 has 576 divisors, whose sum is σ = 24312742272000. Its totient is φ = 2830058496000.

The previous prime is 8357063967971. The next prime is 8357063968003. The reversal of 8357063968000 is 8693607538.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8357063968003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 394581411 + ... + 394602589.

It is an arithmetic number, because the mean of its divisors is an integer number (42209622000).

Almost surely, 2^{8357063968000} is an apocalyptic number.

8357063968000 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 8357063968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156371136000).

8357063968000 is an abundant number, since it is smaller than the sum of its proper divisors (15955678304000).

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

8357063968000 is a wasteful number, since it uses less digits than its factorization.

8357063968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21299 (or 21275 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 8357063968000 in words is "eight trillion, three hundred fifty-seven billion, sixty-three million, nine hundred sixty-eight thousand".