8721669600 has 576 divisors, whose sum is σ = 37047628800. Its totient is φ = 1938401280.

The previous prime is 8721669587. The next prime is 8721669623. The reversal of 8721669600 is 69661278.

It is a super-2 number, since 2×8721669600² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5593621 + ... + 5595179.

It is an arithmetic number, because the mean of its divisors is an integer number (64318800).

Almost surely, 2^8721669600 is an apocalyptic number.

8721669600 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 8721669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523814400).

8721669600 is an abundant number, since it is smaller than the sum of its proper divisors (28325959200).

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

8721669600 is a wasteful number, since it uses less digits than its factorization.

8721669600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8721669600 is about 93389.8795373460. The cubic root of 8721669600 is about 2058.4162899175.

It can be divided in two parts, 87216 and 69600, that added together give a square (156816 = 396²).

The spelling of 8721669600 in words is "eight billion, seven hundred twenty-one million, six hundred sixty-nine thousand, six hundred".