27629956332 has 288 divisors, whose sum is σ = 85133368320. Its totient is φ = 7745129280.

The previous prime is 27629956301. The next prime is 27629956379. The reversal of 27629956332 is 23365992672.

It is a happy number.

27629956332 is a `hidden beast` number, since 2 + 7 + 629 + 9 + 5 + 6 + 3 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8733783 + ... + 8736945.

Almost surely, 2^27629956332 is an apocalyptic number.

27629956332 is a gapful number since it is divisible by the number (22) 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 27629956332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42566684160).

27629956332 is an abundant number, since it is smaller than the sum of its proper divisors (57503411988).

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

27629956332 is a wasteful number, since it uses less digits than its factorization.

27629956332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3241 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 27629956332 in words is "twenty-seven billion, six hundred twenty-nine million, nine hundred fifty-six thousand, three hundred thirty-two".