4004491680 has 864 divisors, whose sum is σ = 17478115200. Its totient is φ = 829108224.

The previous prime is 4004491553. The next prime is 4004491703. The reversal of 4004491680 is 861944004.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38878509 + ... + 38878611.

It is an arithmetic number, because the mean of its divisors is an integer number (20229300).

Almost surely, 2^4004491680 is an apocalyptic number.

4004491680 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 4004491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739057600).

4004491680 is an abundant number, since it is smaller than the sum of its proper divisors (13473623520).

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

4004491680 is a wasteful number, since it uses less digits than its factorization.

4004491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4004491680 is about 63281.0530885825. The cubic root of 4004491680 is about 1587.9950044997.

The spelling of 4004491680 in words is "four billion, four million, four hundred ninety-one thousand, six hundred eighty".