7742312132477 has 8 divisors (see below), whose sum is σ = 8338171750776. Its totient is φ = 7146494963712.

The previous prime is 7742312132461. The next prime is 7742312132507.

7742312132477 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 195528458596 + 7546783673881 = 442186^2 + 2747141^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7742312132477 - 2⁴ = 7742312132461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742312132077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10233068 + ... + 10963589.

It is an arithmetic number, because the mean of its divisors is an integer number (1042271468847).

Almost surely, 2^{7742312132477} is an apocalyptic number.

It is an amenable number.

7742312132477 is a deficient number, since it is larger than the sum of its proper divisors (595859618299).

7742312132477 is a wasteful number, since it uses less digits than its factorization.

7742312132477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21224767.

The product of its digits is 2765952, while the sum is 50.

The spelling of 7742312132477 in words is "seven trillion, seven hundred forty-two billion, three hundred twelve million, one hundred thirty-two thousand, four hundred seventy-seven".