4776638720 has 288 divisors, whose sum is σ = 13986846720. Its totient is φ = 1527644160.

The previous prime is 4776638687. The next prime is 4776638729. The reversal of 4776638720 is 278366774.

It is a super-2 number, since 2×4776638720² = 45632554922806476800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4776638729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8054744 + ... + 8055336.

It is an arithmetic number, because the mean of its divisors is an integer number (48565440).

Almost surely, 2^4776638720 is an apocalyptic number.

4776638720 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 4776638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993423360).

4776638720 is an abundant number, since it is smaller than the sum of its proper divisors (9210208000).

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

4776638720 is a wasteful number, since it uses less digits than its factorization.

4776638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 50.

The square root of 4776638720 is about 69113.2311500483. The cubic root of 4776638720 is about 1684.1242585418.

The spelling of 4776638720 in words is "four billion, seven hundred seventy-six million, six hundred thirty-eight thousand, seven hundred twenty".