4713633792 has 432 divisors, whose sum is σ = 16822685880. Its totient is φ = 1263403008.

The previous prime is 4713633787. The next prime is 4713633797. The reversal of 4713633792 is 2973363174.

It is a happy number.

4713633792 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 633 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4713633787) and next prime (4713633797).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (571536) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4713633797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15353703 + ... + 15354009.

Almost surely, 2^4713633792 is an apocalyptic number.

4713633792 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 4713633792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411342940).

4713633792 is an abundant number, since it is smaller than the sum of its proper divisors (12109052088).

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

4713633792 is a wasteful number, since it uses less digits than its factorization.

4713633792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 336 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 4713633792 is about 68655.9086459425. The cubic root of 4713633792 is about 1676.6868035390.

The spelling of 4713633792 in words is "four billion, seven hundred thirteen million, six hundred thirty-three thousand, seven hundred ninety-two".