4631840640 has 288 divisors, whose sum is σ = 18606776760. Its totient is φ = 1058641920.

The previous prime is 4631840639. The next prime is 4631840651. The reversal of 4631840640 is 460481364.

4631840640 is a `hidden beast` number, since 4 + 6 + 3 + 1 + 8 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 4631840595 and 4631840604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 274035 + ... + 290445.

Almost surely, 2^4631840640 is an apocalyptic number.

4631840640 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 4631840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303388380).

4631840640 is an abundant number, since it is smaller than the sum of its proper divisors (13974936120).

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

4631840640 is a wasteful number, since it uses less digits than its factorization.

4631840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16450 (or 16428 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4631840640 is about 68057.6273462424. The cubic root of 4631840640 is about 1666.9319456851.

The spelling of 4631840640 in words is "four billion, six hundred thirty-one million, eight hundred forty thousand, six hundred forty".