7742330919888 has 320 divisors, whose sum is σ = 21729859200000. Its totient is φ = 2369815805952.

The previous prime is 7742330919871. The next prime is 7742330919913. The reversal of 7742330919888 is 8889190332477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2539300188 + ... + 2539303236.

It is an arithmetic number, because the mean of its divisors is an integer number (67905810000).

Almost surely, 2^{7742330919888} 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 7742330919888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864929600000).

7742330919888 is an abundant number, since it is smaller than the sum of its proper divisors (13987528280112).

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

7742330919888 is a wasteful number, since it uses less digits than its factorization.

7742330919888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 7742330919888 in words is "seven trillion, seven hundred forty-two billion, three hundred thirty million, nine hundred nineteen thousand, eight hundred eighty-eight".