8721753600 has 480 divisors, whose sum is σ = 33464572416. Its totient is φ = 1961164800.

The previous prime is 8721753583. The next prime is 8721753611. The reversal of 8721753600 is 63571278.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8721753600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19084572 + ... + 19085028.

Almost surely, 2^8721753600 is an apocalyptic number.

8721753600 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 8721753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732286208).

8721753600 is an abundant number, since it is smaller than the sum of its proper divisors (24742818816).

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

8721753600 is a wasteful number, since it uses less digits than its factorization.

8721753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 8721753600 is about 93390.3292637948. The cubic root of 8721753600 is about 2058.4228982246.

The spelling of 8721753600 in words is "eight billion, seven hundred twenty-one million, seven hundred fifty-three thousand, six hundred".