4689856640 has 384 divisors, whose sum is σ = 14567558400. Its totient is φ = 1430618112.

The previous prime is 4689856631. The next prime is 4689856643. The reversal of 4689856640 is 466589864.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4689856643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10129049 + ... + 10129511.

It is an arithmetic number, because the mean of its divisors is an integer number (37936350).

Almost surely, 2^4689856640 is an apocalyptic number.

4689856640 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 4689856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283779200).

4689856640 is an abundant number, since it is smaller than the sum of its proper divisors (9877701760).

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

4689856640 is a wasteful number, since it uses less digits than its factorization.

4689856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The square root of 4689856640 is about 68482.5279907218. The cubic root of 4689856640 is about 1673.8627926561.

The spelling of 4689856640 in words is "four billion, six hundred eighty-nine million, eight hundred fifty-six thousand, six hundred forty".