4725651840 has 1024 divisors, whose sum is σ = 20629002240. Its totient is φ = 891813888.

The previous prime is 4725651817. The next prime is 4725651893. The reversal of 4725651840 is 481565274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4725651792 and 4725651801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109898859 + ... + 109898901.

It is an arithmetic number, because the mean of its divisors is an integer number (20145510).

Almost surely, 2^4725651840 is an apocalyptic number.

4725651840 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 4725651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314501120).

4725651840 is an abundant number, since it is smaller than the sum of its proper divisors (15903350400).

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

4725651840 is a wasteful number, since it uses less digits than its factorization.

4725651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 4725651840 is about 68743.3766991410. The cubic root of 4725651840 is about 1678.1105742512.

The spelling of 4725651840 in words is "four billion, seven hundred twenty-five million, six hundred fifty-one thousand, eight hundred forty".