4778398464 has 432 divisors, whose sum is σ = 16050142080. Its totient is φ = 1254113280.

The previous prime is 4778398459. The next prime is 4778398481. The reversal of 4778398464 is 4648938774.

Its product of digits (32514048) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 4778398398 and 4778398407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29315247 + ... + 29315409.

Almost surely, 2^4778398464 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 4778398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025071040).

4778398464 is an abundant number, since it is smaller than the sum of its proper divisors (11271743616).

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

4778398464 is a wasteful number, since it uses less digits than its factorization.

4778398464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The square root of 4778398464 is about 69125.9608540814. The cubic root of 4778398464 is about 1684.3310471693.

The spelling of 4778398464 in words is "four billion, seven hundred seventy-eight million, three hundred ninety-eight thousand, four hundred sixty-four".