4768771853664 has 576 divisors, whose sum is σ = 17765350686720. Its totient is φ = 1177497354240.

The previous prime is 4768771853623. The next prime is 4768771853687. The reversal of 4768771853664 is 4663581778674.

4768771853664 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 77 + 18 + 536 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4768771853592 and 4768771853601.

It is a congruent number.

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, 85069357 + ... + 85125395.

It is an arithmetic number, because the mean of its divisors is an integer number (30842622720).

Almost surely, 2^{4768771853664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768771853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882675343360).

4768771853664 is an abundant number, since it is smaller than the sum of its proper divisors (12996578833056).

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

4768771853664 is a wasteful number, since it uses less digits than its factorization.

4768771853664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56283 (or 56272 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 4768771853664 in words is "four trillion, seven hundred sixty-eight billion, seven hundred seventy-one million, eight hundred fifty-three thousand, six hundred sixty-four".