7742267560 has 64 divisors (see below), whose sum is σ = 17787600000. Its totient is φ = 3031831296.

The previous prime is 7742267557. The next prime is 7742267591. The reversal of 7742267560 is 657622477.

It is a self number, because there is not a number n which added to its sum of digits gives 7742267560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028691 + ... + 1036189.

It is an arithmetic number, because the mean of its divisors is an integer number (277931250).

Almost surely, 2^7742267560 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 7742267560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893800000).

7742267560 is an abundant number, since it is smaller than the sum of its proper divisors (10045332440).

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

7742267560 is a wasteful number, since it uses less digits than its factorization.

7742267560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 46.

The square root of 7742267560 is about 87990.1560403208. The cubic root of 7742267560 is about 1978.2874318657.

The spelling of 7742267560 in words is "seven billion, seven hundred forty-two million, two hundred sixty-seven thousand, five hundred sixty".