6958620639040 has 224 divisors, whose sum is σ = 19351676897280. Its totient is φ = 2334177478656.

The previous prime is 6958620639037. The next prime is 6958620639053. The reversal of 6958620639040 is 409360268596.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18968071 + ... + 19331449.

It is an arithmetic number, because the mean of its divisors is an integer number (86391414720).

Almost surely, 2^{6958620639040} 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 6958620639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9675838448640).

6958620639040 is an abundant number, since it is smaller than the sum of its proper divisors (12393056258240).

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

6958620639040 is a wasteful number, since it uses less digits than its factorization.

6958620639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363589 (or 363579 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 6958620639040 in words is "six trillion, nine hundred fifty-eight billion, six hundred twenty million, six hundred thirty-nine thousand, forty".