4723683840 has 240 divisors, whose sum is σ = 16632580536. Its totient is φ = 1238630400.

The previous prime is 4723683829. The next prime is 4723683851. The reversal of 4723683840 is 483863274.

It is an interprime number because it is at equal distance from previous prime (4723683829) and next prime (4723683851).

It can be written as a sum of positive squares in 4 ways, for example, as 3062958336 + 1660725504 = 55344^2 + 40752^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1403760 + ... + 1407120.

Almost surely, 2^4723683840 is an apocalyptic number.

4723683840 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 4723683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316290268).

4723683840 is an abundant number, since it is smaller than the sum of its proper divisors (11908896696).

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

4723683840 is a wasteful number, since it uses less digits than its factorization.

4723683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4723683840 is about 68729.0611022732. The cubic root of 4723683840 is about 1677.8775919189.

The spelling of 4723683840 in words is "four billion, seven hundred twenty-three million, six hundred eighty-three thousand, eight hundred forty".