6849625820940 has 288 divisors, whose sum is σ = 25127381260800. Its totient is φ = 1565628378048.

The previous prime is 6849625820911. The next prime is 6849625821037. The reversal of 6849625820940 is 490285269486.

6849625820940 is a `hidden beast` number, since 6 + 8 + 4 + 9 + 6 + 2 + 582 + 0 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387522 + ... + 3721481.

It is an arithmetic number, because the mean of its divisors is an integer number (87247851600).

Almost surely, 2^{6849625820940} is an apocalyptic number.

6849625820940 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 6849625820940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563690630400).

6849625820940 is an abundant number, since it is smaller than the sum of its proper divisors (18277755439860).

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

6849625820940 is a wasteful number, since it uses less digits than its factorization.

6849625820940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109048 (or 4109020 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 6849625820940 in words is "six trillion, eight hundred forty-nine billion, six hundred twenty-five million, eight hundred twenty thousand, nine hundred forty".