7128767493120 has 2112 divisors, whose sum is σ = 29723013815040. Its totient is φ = 1444474257408.

The previous prime is 7128767493101. The next prime is 7128767493157. The reversal of 7128767493120 is 213947678217.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30595568524 + ... + 30595568756.

Almost surely, 2^{7128767493120} is an apocalyptic number.

7128767493120 is a gapful number since it is divisible by the number (70) 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 7128767493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14861506907520).

7128767493120 is an abundant number, since it is smaller than the sum of its proper divisors (22594246321920).

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

7128767493120 is a wasteful number, since it uses less digits than its factorization.

7128767493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 7128767493120 in words is "seven trillion, one hundred twenty-eight billion, seven hundred sixty-seven million, four hundred ninety-three thousand, one hundred twenty".