6106921632 has 576 divisors, whose sum is σ = 22308249600. Its totient is φ = 1545246720.

The previous prime is 6106921607. The next prime is 6106921687. The reversal of 6106921632 is 2361296016.

It is a happy number.

6106921632 is a `hidden beast` number, since 6 + 10 + 6 + 9 + 2 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 43934619 + ... + 43934757.

It is an arithmetic number, because the mean of its divisors is an integer number (38729600).

Almost surely, 2^6106921632 is an apocalyptic number.

6106921632 is a gapful number since it is divisible by the number (62) 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 6106921632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154124800).

6106921632 is an abundant number, since it is smaller than the sum of its proper divisors (16201327968).

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

6106921632 is a wasteful number, since it uses less digits than its factorization.

6106921632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6106921632 is about 78146.7954045462. The cubic root of 6106921632 is about 1827.8509647117.

The spelling of 6106921632 in words is "six billion, one hundred six million, nine hundred twenty-one thousand, six hundred thirty-two".