8415836964072 has 256 divisors, whose sum is σ = 23875251072000. Its totient is φ = 2746145286144.

The previous prime is 8415836964023. The next prime is 8415836964083. The reversal of 8415836964072 is 2704696385148.

8415836964072 is a `hidden beast` number, since 8 + 4 + 1 + 583 + 6 + 9 + 6 + 40 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3522743454 + ... + 3522745842.

It is an arithmetic number, because the mean of its divisors is an integer number (93262699500).

It is a 1-persistent number, because it is pandigital, but 2⋅8415836964072 = 16831673928144 is not.

Almost surely, 2^{8415836964072} 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 8415836964072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937625536000).

8415836964072 is an abundant number, since it is smaller than the sum of its proper divisors (15459414107928).

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

8415836964072 is a wasteful number, since it uses less digits than its factorization.

8415836964072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 8415836964072 in words is "eight trillion, four hundred fifteen billion, eight hundred thirty-six million, nine hundred sixty-four thousand, seventy-two".