4073472000 has 720 divisors, whose sum is σ = 16745771952. Its totient is φ = 943718400.

The previous prime is 4073471993. The next prime is 4073472047. The reversal of 4073472000 is 2743704.

It can be written as a sum of positive squares in 8 ways, for example, as 1504198656 + 2569273344 = 38784^2 + 50688^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239615992 + ... + 239616008.

Almost surely, 2^4073472000 is an apocalyptic number.

4073472000 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 4073472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372885976).

4073472000 is an abundant number, since it is smaller than the sum of its proper divisors (12672299952).

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

4073472000 is a wasteful number, since it uses less digits than its factorization.

4073472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4073472000 is about 63823.7573322035. The cubic root of 4073472000 is about 1597.0612723963.

The spelling of 4073472000 in words is "four billion, seventy-three million, four hundred seventy-two thousand".