6123634902 has 192 divisors, whose sum is σ = 17390191104. Its totient is φ = 1511032320.

The previous prime is 6123634901. The next prime is 6123634903. The reversal of 6123634902 is 2094363216.

6123634902 is a `hidden beast` number, since 6 + 12 + 3 + 634 + 9 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6123634901) and next prime (6123634903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123634901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2203738 + ... + 2206514.

It is an arithmetic number, because the mean of its divisors is an integer number (90573912).

Almost surely, 2^6123634902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123634902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695095552).

6123634902 is an abundant number, since it is smaller than the sum of its proper divisors (11266556202).

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

6123634902 is a wasteful number, since it uses less digits than its factorization.

6123634902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6123634902 is about 78253.6574352918. The cubic root of 6123634902 is about 1829.5169180847.

The spelling of 6123634902 in words is "six billion, one hundred twenty-three million, six hundred thirty-four thousand, nine hundred two".