4787640000 has 1120 divisors, whose sum is σ = 21329172480. Its totient is φ = 1036800000.

The previous prime is 4787639981. The next prime is 4787640017. The reversal of 4787640000 is 467874.

It is a happy number.

4787640000 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 154439985 + ... + 154440015.

It is an arithmetic number, because the mean of its divisors is an integer number (19043904).

Almost surely, 2^4787640000 is an apocalyptic number.

4787640000 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 4787640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664586240).

4787640000 is an abundant number, since it is smaller than the sum of its proper divisors (16541532480).

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

4787640000 is a wasteful number, since it uses less digits than its factorization.

4787640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4787640000 is about 69192.7741892172. The cubic root of 4787640000 is about 1685.4161933059.

The spelling of 4787640000 in words is "four billion, seven hundred eighty-seven million, six hundred forty thousand".