7742415060 has 72 divisors (see below), whose sum is σ = 24866825256. Its totient is φ = 1943193600.

The previous prime is 7742415053. The next prime is 7742415067. The reversal of 7742415060 is 605142477.

7742415060 is a `hidden beast` number, since 77 + 42 + 41 + 506 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7742415053) and next prime (7742415067).

It can be written as a sum of positive squares in 4 ways, for example, as 74960964 + 7667454096 = 8658^2 + 87564^2 .

It is a super-2 number, since 2×7742415060² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742415067) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1262041 + ... + 1268160.

It is an arithmetic number, because the mean of its divisors is an integer number (345372573).

Almost surely, 2^7742415060 is an apocalyptic number.

It is an amenable number.

7742415060 is an abundant number, since it is smaller than the sum of its proper divisors (17124410196).

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

7742415060 is a wasteful number, since it uses less digits than its factorization.

7742415060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530233 (or 2530228 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7742415060 is about 87990.9941982701. The cubic root of 7742415060 is about 1978.2999947460.

The spelling of 7742415060 in words is "seven billion, seven hundred forty-two million, four hundred fifteen thousand, sixty".