7742264211 has 12 divisors (see below), whose sum is σ = 12199931640. Its totient is φ = 4692281280.

The previous prime is 7742264141. The next prime is 7742264213. The reversal of 7742264211 is 1124622477.

7742264211 is a `hidden beast` number, since 7 + 7 + 4 + 2 + 2 + 642 + 1 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-7742264211 is a prime.

It is a super-2 number, since 2×7742264211² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7742264213) 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 11 ways as a sum of consecutive naturals, for example, 39102246 + ... + 39102443.

It is an arithmetic number, because the mean of its divisors is an integer number (1016660970).

Almost surely, 2^7742264211 is an apocalyptic number.

7742264211 is a deficient number, since it is larger than the sum of its proper divisors (4457667429).

7742264211 is a wasteful number, since it uses less digits than its factorization.

7742264211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78204706 (or 78204703 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7742264211 is about 87990.1370097808. The cubic root of 7742264211 is about 1978.2871466225.

Adding to 7742264211 its reverse (1124622477), we get a palindrome (8866886688).

It can be divided in two parts, 7742 and 264211, that added together give a triangular number (271953 = T₇₃₇).

The spelling of 7742264211 in words is "seven billion, seven hundred forty-two million, two hundred sixty-four thousand, two hundred eleven".