8746120857600 has 3888 divisors, whose sum is σ = 40856732853300. Its totient is φ = 1779168706560.

The previous prime is 8746120857599. The next prime is 8746120857641. The reversal of 8746120857600 is 67580216478.

8746120857600 is a `hidden beast` number, since 8 + 7 + 4 + 6 + 1 + 20 + 8 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5223382262784 + 3522738594816 = 2285472^2 + 1876896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 236381644782 + ... + 236381644818.

Almost surely, 2^{8746120857600} is an apocalyptic number.

8746120857600 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 8746120857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20428366426650).

8746120857600 is an abundant number, since it is smaller than the sum of its proper divisors (32110611995700).

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

8746120857600 is a wasteful number, since it uses less digits than its factorization.

8746120857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 8746120857600 in words is "eight trillion, seven hundred forty-six billion, one hundred twenty million, eight hundred fifty-seven thousand, six hundred".