6952638013440 has 896 divisors, whose sum is σ = 26623313418240. Its totient is φ = 1514781278208.

The previous prime is 6952638013423. The next prime is 6952638013459. The reversal of 6952638013440 is 443108362596.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9041141376 + ... + 9041142144.

It is an arithmetic number, because the mean of its divisors is an integer number (29713519440).

Almost surely, 2^{6952638013440} is an apocalyptic number.

6952638013440 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 6952638013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311656709120).

6952638013440 is an abundant number, since it is smaller than the sum of its proper divisors (19670675404800).

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

6952638013440 is a wasteful number, since it uses less digits than its factorization.

6952638013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 6952638013440 in words is "six trillion, nine hundred fifty-two billion, six hundred thirty-eight million, thirteen thousand, four hundred forty".