6997107825648 has 120 divisors (see below), whose sum is σ = 20459228838048. Its totient is φ = 2228161875456.

The previous prime is 6997107825641. The next prime is 6997107825649. The reversal of 6997107825648 is 8465287017996.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6997107825641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1314286 + ... + 3965042.

Almost surely, 2^{6997107825648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6997107825648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229614419024).

6997107825648 is an abundant number, since it is smaller than the sum of its proper divisors (13462121012400).

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

6997107825648 is a wasteful number, since it uses less digits than its factorization.

6997107825648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651591 (or 2651582 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 6997107825648 in words is "six trillion, nine hundred ninety-seven billion, one hundred seven million, eight hundred twenty-five thousand, six hundred forty-eight".