8648060400 has 180 divisors, whose sum is σ = 34298582032. Its totient is φ = 1976693760.

The previous prime is 8648060381. The next prime is 8648060411. The reversal of 8648060400 is 40608468.

8648060400 is a `hidden beast` number, since 8 + 6 + 48 + 0 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146389 + ... + 196788.

Almost surely, 2^8648060400 is an apocalyptic number.

8648060400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8648060400 is an abundant number, since it is smaller than the sum of its proper divisors (25650521632).

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

8648060400 is a wasteful number, since it uses less digits than its factorization.

8648060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343208 (or 343194 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8648060400 is about 92994.9482498915. The cubic root of 8648060400 is about 2052.6090437057.

Adding to 8648060400 its reverse (40608468), we get a palindrome (8688668868).

The spelling of 8648060400 in words is "eight billion, six hundred forty-eight million, sixty thousand, four hundred".