8012406360672 has 768 divisors, whose sum is σ = 29228271206400. Its totient is φ = 2082455101440.

The previous prime is 8012406360547. The next prime is 8012406360683. The reversal of 8012406360672 is 2760636042108.

8012406360672 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 4 + 0 + 636 + 0 + 6 + 7 + 2 = 666.

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, 4650264003 + ... + 4650265725.

It is an arithmetic number, because the mean of its divisors is an integer number (38057644800).

Almost surely, 2^{8012406360672} 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 8012406360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614135603200).

8012406360672 is an abundant number, since it is smaller than the sum of its proper divisors (21215864845728).

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

8012406360672 is a wasteful number, since it uses less digits than its factorization.

8012406360672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 8012406360672 in words is "eight trillion, twelve billion, four hundred six million, three hundred sixty thousand, six hundred seventy-two".