6949072507440 has 640 divisors, whose sum is σ = 25960633270272. Its totient is φ = 1503341199360.

The previous prime is 6949072507439. The next prime is 6949072507441. The reversal of 6949072507440 is 447052709496.

It is an interprime number because it is at equal distance from previous prime (6949072507439) and next prime (6949072507441).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6949072507441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3977716647 + ... + 3977718393.

Almost surely, 2^{6949072507440} is an apocalyptic number.

6949072507440 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 6949072507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12980316635136).

6949072507440 is an abundant number, since it is smaller than the sum of its proper divisors (19011560762832).

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

6949072507440 is a wasteful number, since it uses less digits than its factorization.

6949072507440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 6949072507440 in words is "six trillion, nine hundred forty-nine billion, seventy-two million, five hundred seven thousand, four hundred forty".