7742125801080 has 256 divisors, whose sum is σ = 29634932160000. Its totient is φ = 1778095825920.

The previous prime is 7742125801043. The next prime is 7742125801097. The reversal of 7742125801080 is 801085212477.

7742125801080 is a `hidden beast` number, since 7 + 7 + 42 + 12 + 580 + 10 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16924125 + ... + 17375564.

It is an arithmetic number, because the mean of its divisors is an integer number (115761453750).

Almost surely, 2^{7742125801080} is an apocalyptic number.

It is an amenable number.

7742125801080 is an abundant number, since it is smaller than the sum of its proper divisors (21892806358920).

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

7742125801080 is a wasteful number, since it uses less digits than its factorization.

7742125801080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34299739 (or 34299729 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 7742125801080 in words is "seven trillion, seven hundred forty-two billion, one hundred twenty-five million, eight hundred one thousand, eighty".