8549006400 has 504 divisors, whose sum is σ = 34236403968. Its totient is φ = 2004480000.

The previous prime is 8549006363. The next prime is 8549006407. The reversal of 8549006400 is 46009458.

8549006400 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 0 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8549006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4909530 + ... + 4911270.

Almost surely, 2^8549006400 is an apocalyptic number.

8549006400 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 8549006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118201984).

8549006400 is an abundant number, since it is smaller than the sum of its proper divisors (25687397568).

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

8549006400 is a wasteful number, since it uses less digits than its factorization.

8549006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8549006400 is about 92460.8371149645. The cubic root of 8549006400 is about 2044.7421398397.

The spelling of 8549006400 in words is "eight billion, five hundred forty-nine million, six thousand, four hundred".