856464465672 has 256 divisors, whose sum is σ = 2516848588800. Its totient is φ = 269309779200.

The previous prime is 856464465671. The next prime is 856464465719. The reversal of 856464465672 is 276564464658.

856464465672 is a `hidden beast` number, since 8 + 5 + 6 + 4 + 64 + 4 + 6 + 567 + 2 = 666.

It is a super-3 number, since 3×856464465672³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (856464465671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289051663 + ... + 289054625.

It is an arithmetic number, because the mean of its divisors is an integer number (9831439800).

Almost surely, 2^856464465672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856464465672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258424294400).

856464465672 is an abundant number, since it is smaller than the sum of its proper divisors (1660384123128).

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

856464465672 is a wasteful number, since it uses less digits than its factorization.

856464465672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3775 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 856464465672 in words is "eight hundred fifty-six billion, four hundred sixty-four million, four hundred sixty-five thousand, six hundred seventy-two".