4067936640 has 224 divisors, whose sum is σ = 14582368800. Its totient is φ = 1084658688.

The previous prime is 4067936567. The next prime is 4067936641. The reversal of 4067936640 is 466397604.

4067936640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067936641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 462201 + ... + 470919.

Almost surely, 2^4067936640 is an apocalyptic number.

4067936640 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 4067936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291184400).

4067936640 is an abundant number, since it is smaller than the sum of its proper divisors (10514432160).

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

4067936640 is an frugal number, since it uses more digits than its factorization.

4067936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4067936640 is about 63780.3781738553. The cubic root of 4067936640 is about 1596.3375395531.

The spelling of 4067936640 in words is "four billion, sixty-seven million, nine hundred thirty-six thousand, six hundred forty".