8661634400 has 216 divisors, whose sum is σ = 22438266984. Its totient is φ = 3264307200.

The previous prime is 8661634349. The next prime is 8661634409. The reversal of 8661634400 is 44361668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8661634409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41050295 + ... + 41050505.

Almost surely, 2^8661634400 is an apocalyptic number.

8661634400 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 8661634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11219133492).

8661634400 is an abundant number, since it is smaller than the sum of its proper divisors (13776632584).

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

8661634400 is a wasteful number, since it uses less digits than its factorization.

8661634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 8661634400 is about 93067.9020930417. The cubic root of 8661634400 is about 2053.6824077166.

The spelling of 8661634400 in words is "eight billion, six hundred sixty-one million, six hundred thirty-four thousand, four hundred".