4777784640 has 336 divisors, whose sum is σ = 16952811408. Its totient is φ = 1234501632.

The previous prime is 4777784633. The next prime is 4777784657. The reversal of 4777784640 is 464877774.

4777784640 is a `hidden beast` number, since 47 + 77 + 78 + 464 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 946669824 + 3831114816 = 30768^2 + 61896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17248182 + ... + 17248458.

Almost surely, 2^4777784640 is an apocalyptic number.

4777784640 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 4777784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476405704).

4777784640 is an abundant number, since it is smaller than the sum of its proper divisors (12175026768).

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

4777784640 is a wasteful number, since it uses less digits than its factorization.

4777784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The square root of 4777784640 is about 69121.5208166024. The cubic root of 4777784640 is about 1684.2589220907.

The spelling of 4777784640 in words is "four billion, seven hundred seventy-seven million, seven hundred eighty-four thousand, six hundred forty".