6875487440640 has 1728 divisors, whose sum is σ = 30598699622400. Its totient is φ = 1386399006720.

The previous prime is 6875487440629. The next prime is 6875487440651. The reversal of 6875487440640 is 460447845786.

6875487440640 is a `hidden beast` number, since 6 + 8 + 7 + 54 + 87 + 440 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6875487440629) and next prime (6875487440651).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2697326086 + ... + 2697328634.

It is an arithmetic number, because the mean of its divisors is an integer number (17707580800).

Almost surely, 2^{6875487440640} is an apocalyptic number.

6875487440640 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 6875487440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299349811200).

6875487440640 is an abundant number, since it is smaller than the sum of its proper divisors (23723212181760).

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

6875487440640 is a wasteful number, since it uses less digits than its factorization.

6875487440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 6875487440640 in words is "six trillion, eight hundred seventy-five billion, four hundred eighty-seven million, four hundred forty thousand, six hundred forty".