8632049479200 has 432 divisors, whose sum is σ = 35095033524096. Its totient is φ = 1955578060800.

The previous prime is 8632049479187. The next prime is 8632049479219. The reversal of 8632049479200 is 29749402368.

8632049479200 is a `hidden beast` number, since 8 + 6 + 320 + 49 + 4 + 79 + 200 = 666.

It is a super-2 number, since 2×8632049479200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4937365 + ... + 6453035.

It is an arithmetic number, because the mean of its divisors is an integer number (81238503528).

Almost surely, 2^{8632049479200} is an apocalyptic number.

8632049479200 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 8632049479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547516762048).

8632049479200 is an abundant number, since it is smaller than the sum of its proper divisors (26462984044896).

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

8632049479200 is a wasteful number, since it uses less digits than its factorization.

8632049479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515817 (or 1515801 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 8632049479200 in words is "eight trillion, six hundred thirty-two billion, forty-nine million, four hundred seventy-nine thousand, two hundred".