5672085644160 has 1024 divisors, whose sum is σ = 22458962534400. Its totient is φ = 1343944949760.

The previous prime is 5672085644143. The next prime is 5672085644171. The reversal of 5672085644160 is 614465802765.

5672085644160 is a `hidden beast` number, since 5 + 6 + 72 + 0 + 8 + 564 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5672085644097 and 5672085644106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 644038477 + ... + 644047283.

It is an arithmetic number, because the mean of its divisors is an integer number (21932580600).

Almost surely, 2^{5672085644160} 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 5672085644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229481267200).

5672085644160 is an abundant number, since it is smaller than the sum of its proper divisors (16786876890240).

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

5672085644160 is a wasteful number, since it uses less digits than its factorization.

5672085644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8956 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5672085644160 in words is "five trillion, six hundred seventy-two billion, eighty-five million, six hundred forty-four thousand, one hundred sixty".