6629147136 has 240 divisors, whose sum is σ = 20316780000. Its totient is φ = 2134149120.

The previous prime is 6629147113. The next prime is 6629147137. The reversal of 6629147136 is 6317419266.

6629147136 is a `hidden beast` number, since 6 + 62 + 91 + 471 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6629147091 and 6629147100.

It is not an unprimeable number, because it can be changed into a prime (6629147137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13284615 + ... + 13285113.

It is an arithmetic number, because the mean of its divisors is an integer number (84653250).

Almost surely, 2^6629147136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6629147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158390000).

6629147136 is an abundant number, since it is smaller than the sum of its proper divisors (13687632864).

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

6629147136 is an equidigital number, since it uses as much as digits as its factorization.

6629147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 535 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6629147136 is about 81419.5746488521. The cubic root of 6629147136 is about 1878.5346904067.

The spelling of 6629147136 in words is "six billion, six hundred twenty-nine million, one hundred forty-seven thousand, one hundred thirty-six".