6948066723840 has 1728 divisors, whose sum is σ = 27731942784000. Its totient is φ = 1605795840000.

The previous prime is 6948066723823. The next prime is 6948066723853. The reversal of 6948066723840 is 483276608496.

6948066723840 is a `hidden beast` number, since 6 + 9 + 480 + 6 + 6 + 72 + 3 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34914908061 + ... + 34914908259.

It is an arithmetic number, because the mean of its divisors is an integer number (16048578000).

Almost surely, 2^{6948066723840} is an apocalyptic number.

6948066723840 is a gapful number since it is divisible by the number (60) 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 6948066723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865971392000).

6948066723840 is an abundant number, since it is smaller than the sum of its proper divisors (20783876060160).

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

6948066723840 is a wasteful number, since it uses less digits than its factorization.

6948066723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 6948066723840 in words is "six trillion, nine hundred forty-eight billion, sixty-six million, seven hundred twenty-three thousand, eight hundred forty".