6123149760 has 1344 divisors, whose sum is σ = 28020142080. Its totient is φ = 1114767360.

The previous prime is 6123149759. The next prime is 6123149761. The reversal of 6123149760 is 679413216.

It is an interprime number because it is at equal distance from previous prime (6123149759) and next prime (6123149761).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123149761) 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 191 ways as a sum of consecutive naturals, for example, 197520945 + ... + 197520975.

It is an arithmetic number, because the mean of its divisors is an integer number (20848320).

Almost surely, 2^6123149760 is an apocalyptic number.

6123149760 is a gapful number since it is divisible by the number (60) 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 6123149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14010071040).

6123149760 is an abundant number, since it is smaller than the sum of its proper divisors (21896992320).

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

6123149760 is a wasteful number, since it uses less digits than its factorization.

6123149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6123149760 is about 78250.5575698985. The cubic root of 6123149760 is about 1829.4686026124.

The spelling of 6123149760 in words is "six billion, one hundred twenty-three million, one hundred forty-nine thousand, seven hundred sixty".