7742426032 has 120 divisors (see below), whose sum is σ = 17158276800. Its totient is φ = 3377848320.

The previous prime is 7742425993. The next prime is 7742426053. The reversal of 7742426032 is 2306242477.

It is a junction number, because it is equal to n+sod(n) for n = 7742425982 and 7742426000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13418128 + ... + 13418704.

It is an arithmetic number, because the mean of its divisors is an integer number (142985640).

Almost surely, 2^7742426032 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 7742426032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579138400).

7742426032 is an abundant number, since it is smaller than the sum of its proper divisors (9415850768).

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

7742426032 is a wasteful number, since it uses less digits than its factorization.

7742426032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The square root of 7742426032 is about 87991.0565455376. The cubic root of 7742426032 is about 1978.3009292476.

The spelling of 7742426032 in words is "seven billion, seven hundred forty-two million, four hundred twenty-six thousand, thirty-two".