4072006500 has 96 divisors (see below), whose sum is σ = 11885118336. Its totient is φ = 1083356800.

The previous prime is 4072006423. The next prime is 4072006501. The reversal of 4072006500 is 56002704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4072006501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697594 + ... + 703406.

It is an arithmetic number, because the mean of its divisors is an integer number (123803316).

Almost surely, 2^4072006500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942559168).

4072006500 is an abundant number, since it is smaller than the sum of its proper divisors (7813111836).

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

4072006500 is a wasteful number, since it uses less digits than its factorization.

4072006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4072006500 is about 63812.2754648351. The cubic root of 4072006500 is about 1596.8697262142.

The spelling of 4072006500 in words is "four billion, seventy-two million, six thousand, five hundred".