8649131400 has 480 divisors, whose sum is σ = 36978258240. Its totient is φ = 1824560640.

The previous prime is 8649131389. The next prime is 8649131401. The reversal of 8649131400 is 41319468.

8649131400 is a `hidden beast` number, since 8 + 649 + 1 + 3 + 1 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8649131401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1471267 + ... + 1477133.

It is an arithmetic number, because the mean of its divisors is an integer number (77038038).

Almost surely, 2^8649131400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8649131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18489129120).

8649131400 is an abundant number, since it is smaller than the sum of its proper divisors (28329126840).

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

8649131400 is a wasteful number, since it uses less digits than its factorization.

8649131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8649131400 is about 93000.7064489297. The cubic root of 8649131400 is about 2052.6937738240.

The spelling of 8649131400 in words is "eight billion, six hundred forty-nine million, one hundred thirty-one thousand, four hundred".