6975467871840 has 1536 divisors, whose sum is σ = 28898811002880. Its totient is φ = 1555100467200.

The previous prime is 6975467871821. The next prime is 6975467871877. The reversal of 6975467871840 is 481787645796.

6975467871840 is a `hidden beast` number, since 6 + 9 + 7 + 5 + 467 + 87 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6244822962 + ... + 6244824078.

It is an arithmetic number, because the mean of its divisors is an integer number (18814330080).

Almost surely, 2^{6975467871840} is an apocalyptic number.

6975467871840 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 6975467871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449405501440).

6975467871840 is an abundant number, since it is smaller than the sum of its proper divisors (21923343131040).

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

6975467871840 is a wasteful number, since it uses less digits than its factorization.

6975467871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 6975467871840 in words is "six trillion, nine hundred seventy-five billion, four hundred sixty-seven million, eight hundred seventy-one thousand, eight hundred forty".