4778064720 has 640 divisors, whose sum is σ = 19998720000. Its totient is φ = 1032652800.

The previous prime is 4778064719. The next prime is 4778064773. The reversal of 4778064720 is 274608774.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9575031 + ... + 9575529.

It is an arithmetic number, because the mean of its divisors is an integer number (31248000).

Almost surely, 2^4778064720 is an apocalyptic number.

4778064720 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 4778064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360000).

4778064720 is an abundant number, since it is smaller than the sum of its proper divisors (15220655280).

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

4778064720 is a wasteful number, since it uses less digits than its factorization.

4778064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4778064720 is about 69123.5467840012. The cubic root of 4778064720 is about 1684.2918326031.

The spelling of 4778064720 in words is "four billion, seven hundred seventy-eight million, sixty-four thousand, seven hundred twenty".