7742442477 has 64 divisors (see below), whose sum is σ = 13005619200. Its totient is φ = 3980095680.

The previous prime is 7742442473. The next prime is 7742442497.

7742442477 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7742442477 - 2² = 7742442473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742442473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16163524 + ... + 16164002.

It is an arithmetic number, because the mean of its divisors is an integer number (203212800).

Almost surely, 2^7742442477 is an apocalyptic number.

7742442477 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

7742442477 is a deficient number, since it is larger than the sum of its proper divisors (5263176723).

7742442477 is a wasteful number, since it uses less digits than its factorization.

7742442477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086.

The product of its digits is 2458624, while the sum is 48.

The square root of 7742442477 is about 87991.1499924850. The cubic root of 7742442477 is about 1978.3023298911.

The spelling of 7742442477 in words is "seven billion, seven hundred forty-two million, four hundred forty-two thousand, four hundred seventy-seven".