7826364006912 has 720 divisors, whose sum is σ = 25878405472920. Its totient is φ = 2272487669760.

The previous prime is 7826364006863. The next prime is 7826364006917. The reversal of 7826364006912 is 2196004636287.

It can be written as a sum of positive squares in 4 ways, for example, as 7616805140736 + 209558866176 = 2759856^2 + 457776^2 .

It is a super-2 number, since 2×7826364006912² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7826364006917) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2215215898 + ... + 2215219430.

Almost surely, 2^{7826364006912} is an apocalyptic number.

7826364006912 is a gapful number since it is divisible by the number (72) 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 7826364006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939202736460).

7826364006912 is an abundant number, since it is smaller than the sum of its proper divisors (18052041466008).

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

7826364006912 is a wasteful number, since it uses less digits than its factorization.

7826364006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 7826364006912 in words is "seven trillion, eight hundred twenty-six billion, three hundred sixty-four million, six thousand, nine hundred twelve".