4774872960 has 1152 divisors, whose sum is σ = 21332263680. Its totient is φ = 973209600.

The previous prime is 4774872959. The next prime is 4774872983. The reversal of 4774872960 is 692784774.

4774872960 is a `hidden beast` number, since 4 + 77 + 487 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 4774872897 and 4774872906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154028145 + ... + 154028175.

It is an arithmetic number, because the mean of its divisors is an integer number (18517590).

Almost surely, 2^4774872960 is an apocalyptic number.

4774872960 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 4774872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666131840).

4774872960 is an abundant number, since it is smaller than the sum of its proper divisors (16557390720).

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

4774872960 is a wasteful number, since it uses less digits than its factorization.

4774872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 4774872960 is about 69100.4555701335. The cubic root of 4774872960 is about 1683.9167119152.

The spelling of 4774872960 in words is "four billion, seven hundred seventy-four million, eight hundred seventy-two thousand, nine hundred sixty".