4629768192 has 336 divisors, whose sum is σ = 15898165920. Its totient is φ = 1319804928.

The previous prime is 4629768167. The next prime is 4629768217. The reversal of 4629768192 is 2918679264.

4629768192 is a `hidden beast` number, since 4 + 629 + 7 + 6 + 8 + 1 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4629768167) and next prime (4629768217).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450723 + ... + 10451165.

It is an arithmetic number, because the mean of its divisors is an integer number (47315970).

Almost surely, 2^4629768192 is an apocalyptic number.

4629768192 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 4629768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949082960).

4629768192 is an abundant number, since it is smaller than the sum of its proper divisors (11268397728).

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

4629768192 is an frugal number, since it uses more digits than its factorization.

4629768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 455 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 4629768192 is about 68042.3999576735. The cubic root of 4629768192 is about 1666.6832939852.

The spelling of 4629768192 in words is "four billion, six hundred twenty-nine million, seven hundred sixty-eight thousand, one hundred ninety-two".