8456105792640 has 256 divisors, whose sum is σ = 29647204813440. Its totient is φ = 2049964421120.

The previous prime is 8456105792599. The next prime is 8456105792671. The reversal of 8456105792640 is 462975016548.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901042 + ... + 4209998.

Almost surely, 2^{8456105792640} is an apocalyptic number.

8456105792640 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 8456105792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823602406720).

8456105792640 is an abundant number, since it is smaller than the sum of its proper divisors (21191099020800).

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

8456105792640 is a wasteful number, since it uses less digits than its factorization.

8456105792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309012 (or 3308978 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 8456105792640 in words is "eight trillion, four hundred fifty-six billion, one hundred five million, seven hundred ninety-two thousand, six hundred forty".