6124638960 has 640 divisors, whose sum is σ = 24876979200. Its totient is φ = 1368391680.

The previous prime is 6124638953. The next prime is 6124638997. The reversal of 6124638960 is 698364216.

6124638960 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 638 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×6124638960² = 75022404780699763200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 23831152 + ... + 23831408.

It is an arithmetic number, because the mean of its divisors is an integer number (38870280).

Almost surely, 2^6124638960 is an apocalyptic number.

6124638960 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 6124638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12438489600).

6124638960 is an abundant number, since it is smaller than the sum of its proper divisors (18752340240).

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

6124638960 is a wasteful number, since it uses less digits than its factorization.

6124638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6124638960 is about 78260.0725785506. The cubic root of 6124638960 is about 1829.6169044892.

The spelling of 6124638960 in words is "six billion, one hundred twenty-four million, six hundred thirty-eight thousand, nine hundred sixty".