6007996901088 has 1920 divisors, whose sum is σ = 23546185850880. Its totient is φ = 1460325335040.

The previous prime is 6007996901083. The next prime is 6007996901099. The reversal of 6007996901088 is 8801096997006.

6007996901088 is a `hidden beast` number, since 600 + 7 + 9 + 9 + 6 + 9 + 0 + 10 + 8 + 8 = 666.

It is a super-2 number, since 2×6007996901088² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007996901083) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14338894543 + ... + 14338894961.

It is an arithmetic number, because the mean of its divisors is an integer number (12263638464).

Almost surely, 2^{6007996901088} 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 6007996901088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773092925440).

6007996901088 is an abundant number, since it is smaller than the sum of its proper divisors (17538188949792).

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

6007996901088 is a wasteful number, since it uses less digits than its factorization.

6007996901088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 6007996901088 in words is "six trillion, seven billion, nine hundred ninety-six million, nine hundred one thousand, eighty-eight".