677754960317461 has 48 divisors (see below), whose sum is σ = 775512161074560. Its totient is φ = 587158857244800.

The previous prime is 677754960317459. The next prime is 677754960317573. The reversal of 677754960317461 is 164713069457776.

It is not a de Polignac number, because 677754960317461 - 2¹ = 677754960317459 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 677754960317461 = 54477³ + 80212³ = 54904³ + 80013³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677754960017461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5023428175 + ... + 5023563091.

It is an arithmetic number, because the mean of its divisors is an integer number (16156503355720).

Almost surely, 2^{677754960317461} is an apocalyptic number.

677754960317461 is the 15030580-th hex number.

It is an amenable number.

677754960317461 is a deficient number, since it is larger than the sum of its proper divisors (97757200757099).

677754960317461 is a wasteful number, since it uses less digits than its factorization.

677754960317461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135834 (or 135467 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 73.

The spelling of 677754960317461 in words is "six hundred seventy-seven trillion, seven hundred fifty-four billion, nine hundred sixty million, three hundred seventeen thousand, four hundred sixty-one".