7512987879072 has 768 divisors, whose sum is σ = 25840539648000. Its totient is φ = 2102953881600.

The previous prime is 7512987879013. The next prime is 7512987879079. The reversal of 7512987879072 is 2709787892157.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7512987879079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866645554 + ... + 866654222.

It is an arithmetic number, because the mean of its divisors is an integer number (33646536000).

Almost surely, 2^{7512987879072} is an apocalyptic number.

7512987879072 is a gapful number since it is divisible by the number (72) 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 7512987879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12920269824000).

7512987879072 is an abundant number, since it is smaller than the sum of its proper divisors (18327551768928).

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

7512987879072 is a wasteful number, since it uses less digits than its factorization.

7512987879072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 72.

The spelling of 7512987879072 in words is "seven trillion, five hundred twelve billion, nine hundred eighty-seven million, eight hundred seventy-nine thousand, seventy-two".