6987826074240 has 256 divisors, whose sum is σ = 26998419657600. Its totient is φ = 1694018396160.

The previous prime is 6987826074209. The next prime is 6987826074277. The reversal of 6987826074240 is 424706287896.

6987826074240 is a `hidden beast` number, since 69 + 8 + 7 + 8 + 260 + 74 + 240 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18191197 + ... + 18571356.

Almost surely, 2^{6987826074240} is an apocalyptic number.

6987826074240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6987826074240 is an abundant number, since it is smaller than the sum of its proper divisors (20010593583360).

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

6987826074240 is a wasteful number, since it uses less digits than its factorization.

6987826074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36762592 (or 36762574 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 6987826074240 in words is "six trillion, nine hundred eighty-seven billion, eight hundred twenty-six million, seventy-four thousand, two hundred forty".