7813868942880 has 3456 divisors, whose sum is σ = 38924720916480. Its totient is φ = 1448500838400.

The previous prime is 7813868942861. The next prime is 7813868942897. The reversal of 7813868942880 is 882498683187.

7813868942880 is a `hidden beast` number, since 7 + 8 + 138 + 68 + 9 + 428 + 8 + 0 = 666.

It is a super-2 number, since 2×7813868942880² (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 a junction number, because it is equal to n+sod(n) for n = 7813868942799 and 7813868942808.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10322151462 + ... + 10322152218.

It is an arithmetic number, because the mean of its divisors is an integer number (11262940080).

Almost surely, 2^{7813868942880} is an apocalyptic number.

7813868942880 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 7813868942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19462360458240).

7813868942880 is an abundant number, since it is smaller than the sum of its proper divisors (31110851973600).

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

7813868942880 is a wasteful number, since it uses less digits than its factorization.

7813868942880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 7813868942880 in words is "seven trillion, eight hundred thirteen billion, eight hundred sixty-eight million, nine hundred forty-two thousand, eight hundred eighty".