7125437816640 has 672 divisors, whose sum is σ = 29755315322880. Its totient is φ = 1594500526080.

The previous prime is 7125437816633. The next prime is 7125437816641. The reversal of 7125437816640 is 466187345217.

7125437816640 is a `hidden beast` number, since 7 + 1 + 2 + 5 + 437 + 8 + 166 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7125437816641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13328577 + ... + 13852863.

It is an arithmetic number, because the mean of its divisors is an integer number (44278743040).

Almost surely, 2^{7125437816640} 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 7125437816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877657661440).

7125437816640 is an abundant number, since it is smaller than the sum of its proper divisors (22629877506240).

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

7125437816640 is a wasteful number, since it uses less digits than its factorization.

7125437816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524348 (or 524321 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7125437816640 in words is "seven trillion, one hundred twenty-five billion, four hundred thirty-seven million, eight hundred sixteen thousand, six hundred forty".