7461349758720 has 2880 divisors, whose sum is σ = 33456407846400. Its totient is φ = 1567283281920.

The previous prime is 7461349758703. The next prime is 7461349758743. The reversal of 7461349758720 is 278579431647.

7461349758720 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 3 + 49 + 7 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 68452750026 + ... + 68452750134.

It is an arithmetic number, because the mean of its divisors is an integer number (11616808280).

It is a 1-persistent number, because it is pandigital, but 2⋅7461349758720 = 14922699517440 is not.

Almost surely, 2^{7461349758720} 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 7461349758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728203923200).

7461349758720 is an abundant number, since it is smaller than the sum of its proper divisors (25995058087680).

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

7461349758720 is a wasteful number, since it uses less digits than its factorization.

7461349758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 7461349758720 in words is "seven trillion, four hundred sixty-one billion, three hundred forty-nine million, seven hundred fifty-eight thousand, seven hundred twenty".