6957050093840 has 640 divisors, whose sum is σ = 21158417203200. Its totient is φ = 2108129587200.

The previous prime is 6957050093827. The next prime is 6957050093857. The reversal of 6957050093840 is 483900507596.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1564434497 + ... + 1564438943.

It is an arithmetic number, because the mean of its divisors is an integer number (33060026880).

Almost surely, 2^{6957050093840} 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 6957050093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579208601600).

6957050093840 is an abundant number, since it is smaller than the sum of its proper divisors (14201367109360).

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

6957050093840 is a wasteful number, since it uses less digits than its factorization.

6957050093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 56.

The spelling of 6957050093840 in words is "six trillion, nine hundred fifty-seven billion, fifty million, ninety-three thousand, eight hundred forty".