6124749120 has 1344 divisors, whose sum is σ = 28520501760. Its totient is φ = 1226244096.

The previous prime is 6124749119. The next prime is 6124749121. The reversal of 6124749120 is 219474216.

It is a happy number.

6124749120 is a `hidden beast` number, since 61 + 2 + 474 + 9 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (6124749119) and next prime (6124749121).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6124749121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165533742 + ... + 165533778.

Almost surely, 2^6124749120 is an apocalyptic number.

6124749120 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 6124749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14260250880).

6124749120 is an abundant number, since it is smaller than the sum of its proper divisors (22395752640).

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

6124749120 is a wasteful number, since it uses less digits than its factorization.

6124749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6124749120 is about 78260.7763825532. The cubic root of 6124749120 is about 1829.6278738101.

The spelling of 6124749120 in words is "six billion, one hundred twenty-four million, seven hundred forty-nine thousand, one hundred twenty".