6007951152 has 180 divisors, whose sum is σ = 19612088496. Its totient is φ = 1711906560.

The previous prime is 6007951151. The next prime is 6007951153. The reversal of 6007951152 is 2511597006.

It is an interprime number because it is at equal distance from previous prime (6007951151) and next prime (6007951153).

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

It is not an unprimeable number, because it can be changed into a prime (6007951151) 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, 3251893 + ... + 3253739.

Almost surely, 2^6007951152 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 6007951152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9806044248).

6007951152 is an abundant number, since it is smaller than the sum of its proper divisors (13604137344).

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

6007951152 is a wasteful number, since it uses less digits than its factorization.

6007951152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 6007951152 is about 77510.9743971781. The cubic root of 6007951152 is about 1817.9229164164.

The spelling of 6007951152 in words is "six billion, seven million, nine hundred fifty-one thousand, one hundred fifty-two".