8850674407680 has 2160 divisors, whose sum is σ = 38099704237056. Its totient is φ = 1955023257600.

The previous prime is 8850674407657. The next prime is 8850674407711. The reversal of 8850674407680 is 867044760588.

8850674407680 is a `hidden beast` number, since 8 + 8 + 50 + 67 + 440 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24116278857 + ... + 24116279223.

Almost surely, 2^{8850674407680} is an apocalyptic number.

8850674407680 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 8850674407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049852118528).

8850674407680 is an abundant number, since it is smaller than the sum of its proper divisors (29249029829376).

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

8850674407680 is a wasteful number, since it uses less digits than its factorization.

8850674407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 8850674407680 in words is "eight trillion, eight hundred fifty billion, six hundred seventy-four million, four hundred seven thousand, six hundred eighty".