8494963200 has 360 divisors, whose sum is σ = 31238446668. Its totient is φ = 2202992640.

The previous prime is 8494963187. The next prime is 8494963231. The reversal of 8494963200 is 23694948.

8494963200 is a `hidden beast` number, since 8 + 4 + 9 + 4 + 9 + 632 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5949962496 + 2545000704 = 77136^2 + 50448^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

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, 4261404 + ... + 4263396.

Almost surely, 2^8494963200 is an apocalyptic number.

8494963200 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 8494963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619223334).

8494963200 is an abundant number, since it is smaller than the sum of its proper divisors (22743483468).

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

8494963200 is a wasteful number, since it uses less digits than its factorization.

8494963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8494963200 is about 92168.1246418739. The cubic root of 8494963200 is about 2040.4243638509.

The spelling of 8494963200 in words is "eight billion, four hundred ninety-four million, nine hundred sixty-three thousand, two hundred".