7425779742720 has 480 divisors, whose sum is σ = 26643899842560. Its totient is φ = 1978154680320.

The previous prime is 7425779742677. The next prime is 7425779742737. The reversal of 7425779742720 is 272479775247.

7425779742720 is a `hidden beast` number, since 7 + 425 + 7 + 79 + 74 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 906573825 + ... + 906582015.

It is an arithmetic number, because the mean of its divisors is an integer number (55508124672).

Almost surely, 2^{7425779742720} 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 7425779742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321949921280).

7425779742720 is an abundant number, since it is smaller than the sum of its proper divisors (19218120099840).

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

7425779742720 is a wasteful number, since it uses less digits than its factorization.

7425779742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 96808320, while the sum is 63.

The spelling of 7425779742720 in words is "seven trillion, four hundred twenty-five billion, seven hundred seventy-nine million, seven hundred forty-two thousand, seven hundred twenty".