9715672800 has 864 divisors, whose sum is σ = 38997504000. Its totient is φ = 2264371200.

The previous prime is 9715672783. The next prime is 9715672877. The reversal of 9715672800 is 82765179.

9715672800 is a `hidden beast` number, since 9 + 7 + 1 + 567 + 2 + 80 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 122983161 + ... + 122983239.

It is an arithmetic number, because the mean of its divisors is an integer number (45136000).

Almost surely, 2^9715672800 is an apocalyptic number.

9715672800 is a gapful number since it is divisible by the number (90) 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 9715672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752000).

9715672800 is an abundant number, since it is smaller than the sum of its proper divisors (29281831200).

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

9715672800 is a wasteful number, since it uses less digits than its factorization.

9715672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 9715672800 is about 98568.1124908051. The cubic root of 9715672800 is about 2133.8192404455.

The spelling of 9715672800 in words is "nine billion, seven hundred fifteen million, six hundred seventy-two thousand, eight hundred".