8649446400 has 792 divisors, whose sum is σ = 36746171904. Its totient is φ = 1902182400.

The previous prime is 8649446363. The next prime is 8649446411. The reversal of 8649446400 is 46449468.

8649446400 is a `hidden beast` number, since 86 + 494 + 46 + 40 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49996714 + ... + 49996886.

Almost surely, 2^8649446400 is an apocalyptic number.

8649446400 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 8649446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373085952).

8649446400 is an abundant number, since it is smaller than the sum of its proper divisors (28096725504).

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

8649446400 is a wasteful number, since it uses less digits than its factorization.

8649446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 8649446400 is about 93002.3999690331. The cubic root of 8649446400 is about 2052.7186931158.

The spelling of 8649446400 in words is "eight billion, six hundred forty-nine million, four hundred forty-six thousand, four hundred".