4870618560 has 224 divisors, whose sum is σ = 17229856320. Its totient is φ = 1295253504.

The previous prime is 4870618553. The next prime is 4870618561. The reversal of 4870618560 is 658160784.

It is a happy number.

4870618560 is a `hidden beast` number, since 4 + 8 + 70 + 6 + 18 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4870618561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4984792 + ... + 4985768.

Almost surely, 2^4870618560 is an apocalyptic number.

4870618560 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 4870618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614928160).

4870618560 is an abundant number, since it is smaller than the sum of its proper divisors (12359237760).

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

4870618560 is a wasteful number, since it uses less digits than its factorization.

4870618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4870618560 is about 69789.8170222562. The cubic root of 4870618560 is about 1695.0975901208.

The spelling of 4870618560 in words is "four billion, eight hundred seventy million, six hundred eighteen thousand, five hundred sixty".