7813995068448 has 288 divisors, whose sum is σ = 23435517321216. Its totient is φ = 2466851272704.

The previous prime is 7813995068353. The next prime is 7813995068491. The reversal of 7813995068448 is 8448605993187.

7813995068448 is a `hidden beast` number, since 7 + 8 + 1 + 39 + 9 + 506 + 84 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7813995068448² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71671065 + ... + 71780007.

It is an arithmetic number, because the mean of its divisors is an integer number (81373324032).

Almost surely, 2^{7813995068448} 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 7813995068448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11717758660608).

7813995068448 is an abundant number, since it is smaller than the sum of its proper divisors (15621522252768).

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

7813995068448 is a wasteful number, since it uses less digits than its factorization.

7813995068448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109176 (or 109165 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 7813995068448 in words is "seven trillion, eight hundred thirteen billion, nine hundred ninety-five million, sixty-eight thousand, four hundred forty-eight".