8648078400 has 1008 divisors, whose sum is σ = 36113313600. Its totient is φ = 2020515840.

The previous prime is 8648078389. The next prime is 8648078419. The reversal of 8648078400 is 48708468.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146577571 + ... + 146577629.

It is an arithmetic number, because the mean of its divisors is an integer number (35826700).

Almost surely, 2^8648078400 is an apocalyptic number.

8648078400 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 8648078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056656800).

8648078400 is an abundant number, since it is smaller than the sum of its proper divisors (27465235200).

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

8648078400 is a wasteful number, since it uses less digits than its factorization.

8648078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8648078400 is about 92995.0450292917. The cubic root of 8648078400 is about 2052.6104677991.

The spelling of 8648078400 in words is "eight billion, six hundred forty-eight million, seventy-eight thousand, four hundred".