8567974920960 has 2880 divisors, whose sum is σ = 39489530572800. Its totient is φ = 1761611120640.

The previous prime is 8567974920941. The next prime is 8567974920977. The reversal of 8567974920960 is 690294797658.

8567974920960 is a `hidden beast` number, since 8 + 5 + 6 + 79 + 7 + 492 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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 319 ways as a sum of consecutive naturals, for example, 19879291945 + ... + 19879292375.

It is an arithmetic number, because the mean of its divisors is an integer number (13711642560).

Almost surely, 2^{8567974920960} is an apocalyptic number.

8567974920960 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 8567974920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19744765286400).

8567974920960 is an abundant number, since it is smaller than the sum of its proper divisors (30921555651840).

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

8567974920960 is a wasteful number, since it uses less digits than its factorization.

8567974920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 8567974920960 in words is "eight trillion, five hundred sixty-seven billion, nine hundred seventy-four million, nine hundred twenty thousand, nine hundred sixty".