4977270612864 has 480 divisors, whose sum is σ = 16697282726520. Its totient is φ = 1459578009600.

The previous prime is 4977270612851. The next prime is 4977270612869. The reversal of 4977270612864 is 4682160727794.

4977270612864 is a `hidden beast` number, since 4 + 9 + 7 + 7 + 2 + 7 + 0 + 612 + 8 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977270612869) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 109577422 + ... + 109622834.

Almost surely, 2^{4977270612864} is an apocalyptic number.

4977270612864 is a gapful number since it is divisible by the number (44) 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 4977270612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348641363260).

4977270612864 is an abundant number, since it is smaller than the sum of its proper divisors (11720012113656).

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

4977270612864 is a wasteful number, since it uses less digits than its factorization.

4977270612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45512 (or 45460 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 4977270612864 in words is "four trillion, nine hundred seventy-seven billion, two hundred seventy million, six hundred twelve thousand, eight hundred sixty-four".