6124098960 has 400 divisors, whose sum is σ = 24630566400. Its totient is φ = 1381266432.

The previous prime is 6124098899. The next prime is 6124098971. The reversal of 6124098960 is 698904216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3582586 + ... + 3584294.

It is an arithmetic number, because the mean of its divisors is an integer number (61576416).

Almost surely, 2^6124098960 is an apocalyptic number.

6124098960 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 6124098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315283200).

6124098960 is an abundant number, since it is smaller than the sum of its proper divisors (18506467440).

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

6124098960 is a wasteful number, since it uses less digits than its factorization.

6124098960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6124098960 is about 78256.6224673669. The cubic root of 6124098960 is about 1829.5631314057.

The spelling of 6124098960 in words is "six billion, one hundred twenty-four million, ninety-eight thousand, nine hundred sixty".