7126827646120 has 256 divisors, whose sum is σ = 19948440960000. Its totient is φ = 2231246684160.

The previous prime is 7126827646111. The next prime is 7126827646123. The reversal of 7126827646120 is 216467286217.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (7126827646123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239661006 + ... + 1239666754.

It is an arithmetic number, because the mean of its divisors is an integer number (77923597500).

Almost surely, 2^{7126827646120} is an apocalyptic number.

7126827646120 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 7126827646120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974220480000).

7126827646120 is an abundant number, since it is smaller than the sum of its proper divisors (12821613313880).

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

7126827646120 is a wasteful number, since it uses less digits than its factorization.

7126827646120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 7126827646120 in words is "seven trillion, one hundred twenty-six billion, eight hundred twenty-seven million, six hundred forty-six thousand, one hundred twenty".