7879127279520 has 192 divisors, whose sum is σ = 28379555608320. Its totient is φ = 1800010211328.

The previous prime is 7879127279519. The next prime is 7879127279563. The reversal of 7879127279520 is 259727219787.

It is a super-2 number, since 2×7879127279520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5888316 + ... + 7101444.

It is an arithmetic number, because the mean of its divisors is an integer number (147810185460).

Almost surely, 2^{7879127279520} is an apocalyptic number.

7879127279520 is a gapful number since it is divisible by the number (70) 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 7879127279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189777804160).

7879127279520 is an abundant number, since it is smaller than the sum of its proper divisors (20500428328800).

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

7879127279520 is a wasteful number, since it uses less digits than its factorization.

7879127279520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215087 (or 1215079 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 66.

The spelling of 7879127279520 in words is "seven trillion, eight hundred seventy-nine billion, one hundred twenty-seven million, two hundred seventy-nine thousand, five hundred twenty".