4781896560 has 400 divisors, whose sum is σ = 19393330176. Its totient is φ = 1069272576.

The previous prime is 4781896549. The next prime is 4781896589. The reversal of 4781896560 is 656981874.

4781896560 is a `hidden beast` number, since 4 + 78 + 1 + 8 + 9 + 6 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4781896497 and 4781896506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2130799 + ... + 2133041.

Almost surely, 2^4781896560 is an apocalyptic number.

4781896560 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 4781896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696665088).

4781896560 is an abundant number, since it is smaller than the sum of its proper divisors (14611433616).

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

4781896560 is a wasteful number, since it uses less digits than its factorization.

4781896560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4781896560 is about 69151.2585568766. The cubic root of 4781896560 is about 1684.7419599165.

The spelling of 4781896560 in words is "four billion, seven hundred eighty-one million, eight hundred ninety-six thousand, five hundred sixty".