4870625760 has 1152 divisors, whose sum is σ = 23247544320. Its totient is φ = 895795200.

The previous prime is 4870625743. The next prime is 4870625807. The reversal of 4870625760 is 675260784.

4870625760 is a `hidden beast` number, since 4 + 8 + 70 + 6 + 2 + 576 + 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 191 ways as a sum of consecutive naturals, for example, 44684586 + ... + 44684694.

It is an arithmetic number, because the mean of its divisors is an integer number (20180160).

Almost surely, 2^4870625760 is an apocalyptic number.

4870625760 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 4870625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623772160).

4870625760 is an abundant number, since it is smaller than the sum of its proper divisors (18376918560).

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

4870625760 is a wasteful number, since it uses less digits than its factorization.

4870625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4870625760 is about 69789.8686056938. The cubic root of 4870625760 is about 1695.0984253807.

The spelling of 4870625760 in words is "four billion, eight hundred seventy million, six hundred twenty-five thousand, seven hundred sixty".