8347648000 has 136 divisors (see below), whose sum is σ = 20856017520. Its totient is φ = 3335782400.

The previous prime is 8347647953. The next prime is 8347648003. The reversal of 8347648000 is 8467438.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8347648003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191491 + ... + 8192509.

It is an arithmetic number, because the mean of its divisors is an integer number (153353070).

Almost surely, 2^8347648000 is an apocalyptic number.

8347648000 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 8347648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428008760).

8347648000 is an abundant number, since it is smaller than the sum of its proper divisors (12508369520).

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

8347648000 is an frugal number, since it uses more digits than its factorization.

8347648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 8347648000 is about 91365.4639346838. The cubic root of 8347648000 is about 2028.5608637192.

The spelling of 8347648000 in words is "eight billion, three hundred forty-seven million, six hundred forty-eight thousand".