4004743680 has 800 divisors, whose sum is σ = 17111761920. Its totient is φ = 875888640.

The previous prime is 4004743679. The next prime is 4004743709. The reversal of 4004743680 is 863474004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44997076 + ... + 44997164.

Almost surely, 2^4004743680 is an apocalyptic number.

4004743680 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 4004743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555880960).

4004743680 is an abundant number, since it is smaller than the sum of its proper divisors (13107018240).

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

4004743680 is an equidigital number, since it uses as much as digits as its factorization.

4004743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4004743680 is about 63283.0441745654. The cubic root of 4004743680 is about 1588.0283142910.

The spelling of 4004743680 in words is "four billion, four million, seven hundred forty-three thousand, six hundred eighty".