6145726032 has 180 divisors, whose sum is σ = 18587843040. Its totient is φ = 1894634496.

The previous prime is 6145726031. The next prime is 6145726033. The reversal of 6145726032 is 2306275416.

6145726032 is a `hidden beast` number, since 6 + 1 + 45 + 7 + 2 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6145726031) and next prime (6145726033).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145726031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2454093 + ... + 2456595.

Almost surely, 2^6145726032 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 6145726032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293921520).

6145726032 is an abundant number, since it is smaller than the sum of its proper divisors (12442117008).

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

6145726032 is a wasteful number, since it uses less digits than its factorization.

6145726032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6145726032 is about 78394.6811461084. The cubic root of 6145726032 is about 1831.7142836080.

The spelling of 6145726032 in words is "six billion, one hundred forty-five million, seven hundred twenty-six thousand, thirty-two".