4700787840 has 768 divisors, whose sum is σ = 20026206720. Its totient is φ = 992673792.

The previous prime is 4700787829. The next prime is 4700787841. The reversal of 4700787840 is 487870074.

4700787840 is a `hidden beast` number, since 470 + 0 + 78 + 78 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4700787841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34312252 + ... + 34312388.

It is an arithmetic number, because the mean of its divisors is an integer number (26075790).

Almost surely, 2^4700787840 is an apocalyptic number.

4700787840 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 4700787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013103360).

4700787840 is an abundant number, since it is smaller than the sum of its proper divisors (15325418880).

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

4700787840 is a wasteful number, since it uses less digits than its factorization.

4700787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 4700787840 is about 68562.2916769852. The cubic root of 4700787840 is about 1675.1622731328.

The spelling of 4700787840 in words is "four billion, seven hundred million, seven hundred eighty-seven thousand, eight hundred forty".