4775863680 has 768 divisors, whose sum is σ = 20209512960. Its totient is φ = 1055047680.

The previous prime is 4775863663. The next prime is 4775863691. The reversal of 4775863680 is 863685774.

4775863680 is a `hidden beast` number, since 477 + 58 + 63 + 68 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 44634187 + ... + 44634293.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^4775863680 is an apocalyptic number.

4775863680 is a gapful number since it is divisible by the number (40) 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 4775863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104756480).

4775863680 is an abundant number, since it is smaller than the sum of its proper divisors (15433649280).

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

4775863680 is a wasteful number, since it uses less digits than its factorization.

4775863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 4775863680 is about 69107.6238920135. The cubic root of 4775863680 is about 1684.0331669923.

The spelling of 4775863680 in words is "four billion, seven hundred seventy-five million, eight hundred sixty-three thousand, six hundred eighty".