8456437120560 has 640 divisors, whose sum is σ = 32686267944960. Its totient is φ = 1776849715200.

The previous prime is 8456437120511. The next prime is 8456437120561. The reversal of 8456437120560 is 650217346548.

It is a super-2 number, since 2×8456437120560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (8456437120561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251445826 + ... + 251479454.

It is an arithmetic number, because the mean of its divisors is an integer number (51072293664).

Almost surely, 2^{8456437120560} is an apocalyptic number.

8456437120560 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 8456437120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343133972480).

8456437120560 is an abundant number, since it is smaller than the sum of its proper divisors (24229830824400).

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

8456437120560 is a wasteful number, since it uses less digits than its factorization.

8456437120560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34117 (or 34111 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 8456437120560 in words is "eight trillion, four hundred fifty-six billion, four hundred thirty-seven million, one hundred twenty thousand, five hundred sixty".