5677054366464 has 864 divisors, whose sum is σ = 18723850110784. Its totient is φ = 1704877424640.

The previous prime is 5677054366453. The next prime is 5677054366559. The reversal of 5677054366464 is 4646634507765.

5677054366464 is a `hidden beast` number, since 5 + 6 + 7 + 70 + 5 + 43 + 66 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7744957842 + ... + 7744958574.

Almost surely, 2^{5677054366464} is an apocalyptic number.

5677054366464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5677054366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361925055392).

5677054366464 is an abundant number, since it is smaller than the sum of its proper divisors (13046795744320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5677054366464 is a wasteful number, since it uses less digits than its factorization.

5677054366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 63.

The spelling of 5677054366464 in words is "five trillion, six hundred seventy-seven billion, fifty-four million, three hundred sixty-six thousand, four hundred sixty-four".