4774936320 has 648 divisors, whose sum is σ = 20992411440. Its totient is φ = 990904320.

The previous prime is 4774936289. The next prime is 4774936339. The reversal of 4774936320 is 236394774.

4774936320 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 9 + 3 + 632 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6208896 + ... + 6209664.

Almost surely, 2^4774936320 is an apocalyptic number.

4774936320 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 4774936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496205720).

4774936320 is an abundant number, since it is smaller than the sum of its proper divisors (16217475120).

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

4774936320 is a wasteful number, since it uses less digits than its factorization.

4774936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 4774936320 is about 69100.9140315814. The cubic root of 4774936320 is about 1683.9241601058.

The spelling of 4774936320 in words is "four billion, seven hundred seventy-four million, nine hundred thirty-six thousand, three hundred twenty".