6126504960 has 176 divisors, whose sum is σ = 19723516416. Its totient is φ = 1623048192.

The previous prime is 6126504947. The next prime is 6126504961. The reversal of 6126504960 is 694056216.

It is not an unprimeable number, because it can be changed into a prime (6126504961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502457 + ... + 2504903.

Almost surely, 2^6126504960 is an apocalyptic number.

6126504960 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 6126504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861758208).

6126504960 is an abundant number, since it is smaller than the sum of its proper divisors (13597011456).

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

6126504960 is a wasteful number, since it uses less digits than its factorization.

6126504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 6126504960 is about 78271.9934587078. The cubic root of 6126504960 is about 1829.8026960383.

The spelling of 6126504960 in words is "six billion, one hundred twenty-six million, five hundred four thousand, nine hundred sixty".