6975214871040 has 1600 divisors, whose sum is σ = 29990501735040. Its totient is φ = 1530734837760.

The previous prime is 6975214871039. The next prime is 6975214871047. The reversal of 6975214871040 is 401784125796.

6975214871040 is a `hidden beast` number, since 6 + 9 + 7 + 52 + 1 + 487 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6975214871047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 870700635 + ... + 870708645.

Almost surely, 2^{6975214871040} is an apocalyptic number.

6975214871040 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 6975214871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995250867520).

6975214871040 is an abundant number, since it is smaller than the sum of its proper divisors (23015286864000).

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

6975214871040 is a wasteful number, since it uses less digits than its factorization.

6975214871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 6975214871040 in words is "six trillion, nine hundred seventy-five billion, two hundred fourteen million, eight hundred seventy-one thousand, forty".