6132126624 has 288 divisors, whose sum is σ = 18479381760. Its totient is φ = 1768366080.

The previous prime is 6132126617. The next prime is 6132126643. The reversal of 6132126624 is 4266212316.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77621817 + ... + 77621895.

It is an arithmetic number, because the mean of its divisors is an integer number (64164520).

Almost surely, 2^6132126624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6132126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239690880).

6132126624 is an abundant number, since it is smaller than the sum of its proper divisors (12347255136).

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

6132126624 is a wasteful number, since it uses less digits than its factorization.

6132126624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 175 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 6132126624 is about 78307.8963068221. The cubic root of 6132126624 is about 1830.3621989041.

The spelling of 6132126624 in words is "six billion, one hundred thirty-two million, one hundred twenty-six thousand, six hundred twenty-four".