6848979517440 has 180 divisors, whose sum is σ = 23742406966824. Its totient is φ = 1826394341376.

The previous prime is 6848979517423. The next prime is 6848979517451. The reversal of 6848979517440 is 447159798486.

6848979517440 is a `hidden beast` number, since 6 + 8 + 4 + 8 + 97 + 95 + 1 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3907482 + ... + 5382041.

Almost surely, 2^{6848979517440} is an apocalyptic number.

6848979517440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6848979517440 is an abundant number, since it is smaller than the sum of its proper divisors (16893427449384).

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

6848979517440 is an equidigital number, since it uses as much as digits as its factorization.

6848979517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289562 (or 9289533 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 6848979517440 in words is "six trillion, eight hundred forty-eight billion, nine hundred seventy-nine million, five hundred seventeen thousand, four hundred forty".