8674287874560 has 1920 divisors, whose sum is σ = 39678244429824. Its totient is φ = 1763641589760.

The previous prime is 8674287874543. The next prime is 8674287874561. The reversal of 8674287874560 is 654787824768.

8674287874560 is a `hidden beast` number, since 8 + 6 + 7 + 428 + 78 + 74 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8674287874561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2251305594 + ... + 2251309446.

Almost surely, 2^{8674287874560} is an apocalyptic number.

8674287874560 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 8674287874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839122214912).

8674287874560 is an abundant number, since it is smaller than the sum of its proper divisors (31003956555264).

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

8674287874560 is a wasteful number, since it uses less digits than its factorization.

8674287874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 8674287874560 in words is "eight trillion, six hundred seventy-four billion, two hundred eighty-seven million, eight hundred seventy-four thousand, five hundred sixty".