4064313792 has 224 divisors, whose sum is σ = 13459382784. Its totient is φ = 1051545600.

The previous prime is 4064313791. The next prime is 4064313809. The reversal of 4064313792 is 2973134604.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4064313792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064313791) 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, 6223738 + ... + 6224390.

Almost surely, 2^4064313792 is an apocalyptic number.

4064313792 is a gapful number since it is divisible by the number (42) 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 4064313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729691392).

4064313792 is an abundant number, since it is smaller than the sum of its proper divisors (9395068992).

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

4064313792 is a wasteful number, since it uses less digits than its factorization.

4064313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 4064313792 is about 63751.9708871812. The cubic root of 4064313792 is about 1595.8635067724.

The spelling of 4064313792 in words is "four billion, sixty-four million, three hundred thirteen thousand, seven hundred ninety-two".