7864328115072 has 1440 divisors, whose sum is σ = 28137651048000. Its totient is φ = 2104930713600.

The previous prime is 7864328115071. The next prime is 7864328115101. The reversal of 7864328115072 is 2705118234687.

7864328115072 is a `hidden beast` number, since 7 + 86 + 43 + 2 + 8 + 11 + 507 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7864328115071) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 88363237204 + ... + 88363237292.

It is an arithmetic number, because the mean of its divisors is an integer number (19540035450).

Almost surely, 2^{7864328115072} is an apocalyptic number.

7864328115072 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 7864328115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14068825524000).

7864328115072 is an abundant number, since it is smaller than the sum of its proper divisors (20273322932928).

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

7864328115072 is a wasteful number, since it uses less digits than its factorization.

7864328115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 7864328115072 in words is "seven trillion, eight hundred sixty-four billion, three hundred twenty-eight million, one hundred fifteen thousand, seventy-two".