6948339463890 has 480 divisors, whose sum is σ = 21096795202560. Its totient is φ = 1638889148160.

The previous prime is 6948339463873. The next prime is 6948339463903. The reversal of 6948339463890 is 983649338496.

6948339463890 is a `hidden beast` number, since 6 + 9 + 4 + 83 + 3 + 9 + 463 + 89 + 0 = 666.

It is a super-2 number, since 2×6948339463890² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 796914951 + ... + 796923669.

It is an arithmetic number, because the mean of its divisors is an integer number (43951656672).

Almost surely, 2^{6948339463890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6948339463890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548397601280).

6948339463890 is an abundant number, since it is smaller than the sum of its proper divisors (14148455738670).

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

6948339463890 is a wasteful number, since it uses less digits than its factorization.

6948339463890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 6948339463890 in words is "six trillion, nine hundred forty-eight billion, three hundred thirty-nine million, four hundred sixty-three thousand, eight hundred ninety".