4006993536 has 640 divisors, whose sum is σ = 15260636160. Its totient is φ = 1015234560.

The previous prime is 4006993469. The next prime is 4006993537. The reversal of 4006993536 is 6353996004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4006993491 and 4006993500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006993537) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29248060 + ... + 29248196.

It is an arithmetic number, because the mean of its divisors is an integer number (23844744).

Almost surely, 2^4006993536 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 4006993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630318080).

4006993536 is an abundant number, since it is smaller than the sum of its proper divisors (11253642624).

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

4006993536 is a wasteful number, since it uses less digits than its factorization.

4006993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 4006993536 is about 63300.8178146223. The cubic root of 4006993536 is about 1588.3256421981.

The spelling of 4006993536 in words is "four billion, six million, nine hundred ninety-three thousand, five hundred thirty-six".