8468938800 has 540 divisors, whose sum is σ = 34953814896. Its totient is φ = 1931558400.

The previous prime is 8468938711. The next prime is 8468938801. The reversal of 8468938800 is 88398648.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8468938801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18370570 + ... + 18371030.

Almost surely, 2^8468938800 is an apocalyptic number.

8468938800 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 8468938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476907448).

8468938800 is an abundant number, since it is smaller than the sum of its proper divisors (26484876096).

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

8468938800 is an equidigital number, since it uses as much as digits as its factorization.

8468938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8468938800 is about 92026.8373899701. The cubic root of 8468938800 is about 2038.3386127222.

The spelling of 8468938800 in words is "eight billion, four hundred sixty-eight million, nine hundred thirty-eight thousand, eight hundred".