4629713088 has 672 divisors, whose sum is σ = 17670597120. Its totient is φ = 1035141120.

The previous prime is 4629713087. The next prime is 4629713089. The reversal of 4629713088 is 8803179264.

It is an interprime number because it is at equal distance from previous prime (4629713087) and next prime (4629713089).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4629713083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42474378 + ... + 42474486.

Almost surely, 2^4629713088 is an apocalyptic number.

4629713088 is a gapful number since it is divisible by the number (48) 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 4629713088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835298560).

4629713088 is an abundant number, since it is smaller than the sum of its proper divisors (13040884032).

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

4629713088 is a wasteful number, since it uses less digits than its factorization.

4629713088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 4629713088 is about 68041.9950324798. The cubic root of 4629713088 is about 1666.6766816109.

It can be divided in two parts, 4629 and 713088, that added together give a palindrome (717717).

The spelling of 4629713088 in words is "four billion, six hundred twenty-nine million, seven hundred thirteen thousand, eighty-eight".