7121618090496 has 1440 divisors, whose sum is σ = 27603632504448. Its totient is φ = 1747397836800.

The previous prime is 7121618090491. The next prime is 7121618090537. The reversal of 7121618090496 is 6940908161217.

7121618090496 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 61 + 8 + 0 + 90 + 496 = 666.

It is not an unprimeable number, because it can be changed into a prime (7121618090491) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2497935471 + ... + 2497938321.

Almost surely, 2^{7121618090496} 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 7121618090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801816252224).

7121618090496 is an abundant number, since it is smaller than the sum of its proper divisors (20482014413952).

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

7121618090496 is a wasteful number, since it uses less digits than its factorization.

7121618090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 7121618090496 in words is "seven trillion, one hundred twenty-one billion, six hundred eighteen million, ninety thousand, four hundred ninety-six".