6132263760 has 800 divisors, whose sum is σ = 25926912000. Its totient is φ = 1341204480.

The previous prime is 6132263741. The next prime is 6132263777. The reversal of 6132263760 is 673622316.

6132263760 is a `hidden beast` number, since 6 + 13 + 2 + 2 + 637 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68901796 + ... + 68901884.

It is an arithmetic number, because the mean of its divisors is an integer number (32408640).

Almost surely, 2^6132263760 is an apocalyptic number.

6132263760 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 6132263760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963456000).

6132263760 is an abundant number, since it is smaller than the sum of its proper divisors (19794648240).

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

6132263760 is a wasteful number, since it uses less digits than its factorization.

6132263760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6132263760 is about 78308.7719224354. The cubic root of 6132263760 is about 1830.3758432560.

The spelling of 6132263760 in words is "six billion, one hundred thirty-two million, two hundred sixty-three thousand, seven hundred sixty".