7126650470400 has 360 divisors, whose sum is σ = 23615108744640. Its totient is φ = 1896378531840.

The previous prime is 7126650470399. The next prime is 7126650470497. The reversal of 7126650470400 is 40740566217.

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 23 ways as a sum of consecutive naturals, for example, 598419646 + ... + 598431554.

Almost surely, 2^{7126650470400} 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 7126650470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807554372320).

7126650470400 is an abundant number, since it is smaller than the sum of its proper divisors (16488458274240).

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

7126650470400 is a wasteful number, since it uses less digits than its factorization.

7126650470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 7126650470400 in words is "seven trillion, one hundred twenty-six billion, six hundred fifty million, four hundred seventy thousand, four hundred".