677327354001 has 9 divisors (see below), whose sum is σ = 978365299899. Its totient is φ = 451549923336.

The previous prime is 677327353981. The next prime is 677327354021. The reversal of 677327354001 is 100453723776.

The square root of 677327354001 is 822999.

It is a perfect power (a square), and thus also a powerful number.

677327354001 is a `hidden beast` number, since 6 + 7 + 7 + 32 + 73 + 540 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (677327353981) and next prime (677327354021).

It can be written as a sum of positive squares in only one way, i.e., 659189729025 + 18137624976 = 811905^2 + 134676^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-677327354001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677327354021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2331831 + ... + 2606163.

Almost surely, 2^677327354001 is an apocalyptic number.

677327354001 is the 822999-th square number.

677327354001 is the 411500-th centered octagonal number.

It is an amenable number.

677327354001 is a deficient number, since it is larger than the sum of its proper divisors (301037945898).

677327354001 is an frugal number, since it uses more digits than its factorization.

677327354001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548672 (or 274336 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 677327354001 in words is "six hundred seventy-seven billion, three hundred twenty-seven million, three hundred fifty-four thousand, one".