677342006541 has 32 divisors (see below), whose sum is σ = 1036226576000. Its totient is φ = 437013408384.

The previous prime is 677342006533. The next prime is 677342006569. The reversal of 677342006541 is 145600243776.

677342006541 is a `hidden beast` number, since 6 + 77 + 34 + 2 + 0 + 0 + 6 + 541 = 666.

It is not a de Polignac number, because 677342006541 - 2³ = 677342006533 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 (677342006521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549656 + ... + 2802753.

It is an arithmetic number, because the mean of its divisors is an integer number (32382080500).

Almost surely, 2^677342006541 is an apocalyptic number.

It is an amenable number.

677342006541 is a deficient number, since it is larger than the sum of its proper divisors (358884569459).

677342006541 is a wasteful number, since it uses less digits than its factorization.

677342006541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352570 (or 5352564 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 677342006541 in words is "six hundred seventy-seven billion, three hundred forty-two million, six thousand, five hundred forty-one".