4777380264384 has 2352 divisors, whose sum is σ = 19300770054720. Its totient is φ = 1158800670720.

The previous prime is 4777380264343. The next prime is 4777380264403. The reversal of 4777380264384 is 4834620837774.

4777380264384 is a `hidden beast` number, since 477 + 7 + 3 + 80 + 2 + 6 + 4 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19823154504 + ... + 19823154744.

Almost surely, 2^{4777380264384} 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 4777380264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650385027360).

4777380264384 is an abundant number, since it is smaller than the sum of its proper divisors (14523389790336).

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

4777380264384 is a wasteful number, since it uses less digits than its factorization.

4777380264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 4777380264384 in words is "four trillion, seven hundred seventy-seven billion, three hundred eighty million, two hundred sixty-four thousand, three hundred eighty-four".