4778691840 has 432 divisors, whose sum is σ = 18863037648. Its totient is φ = 1106509824.

The previous prime is 4778691829. The next prime is 4778691847. The reversal of 4778691840 is 481968774.

It is a happy number.

4778691840 is a `hidden beast` number, since 477 + 8 + 6 + 91 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14379264 + 4764312576 = 3792^2 + 69024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778691847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2544982 + ... + 2546858.

It is an arithmetic number, because the mean of its divisors is an integer number (43664439).

Almost surely, 2^4778691840 is an apocalyptic number.

4778691840 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 4778691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9431518824).

4778691840 is an abundant number, since it is smaller than the sum of its proper divisors (14084345808).

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

4778691840 is a wasteful number, since it uses less digits than its factorization.

4778691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4778691840 is about 69128.0828607303. The cubic root of 4778691840 is about 1684.3655170303.

The spelling of 4778691840 in words is "four billion, seven hundred seventy-eight million, six hundred ninety-one thousand, eight hundred forty".