7126418880 has 840 divisors, whose sum is σ = 30608113536. Its totient is φ = 1567641600.

The previous prime is 7126418869. The next prime is 7126418881. The reversal of 7126418880 is 888146217.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7126418881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39372390 + ... + 39372570.

Almost surely, 2^7126418880 is an apocalyptic number.

7126418880 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 7126418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304056768).

7126418880 is an abundant number, since it is smaller than the sum of its proper divisors (23481694656).

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

7126418880 is a wasteful number, since it uses less digits than its factorization.

7126418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 7126418880 is about 84418.1193820379. The cubic root of 7126418880 is about 1924.3782895881.

The spelling of 7126418880 in words is "seven billion, one hundred twenty-six million, four hundred eighteen thousand, eight hundred eighty".