6511977186240 has 224 divisors, whose sum is σ = 21981532847616. Its totient is φ = 1629685657600.

The previous prime is 6511977186229. The next prime is 6511977186251. The reversal of 6511977186240 is 426817791156.

It is an interprime number because it is at equal distance from previous prime (6511977186229) and next prime (6511977186251).

It is a super-2 number, since 2×6511977186240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612086 + ... + 3952565.

Almost surely, 2^{6511977186240} is an apocalyptic number.

6511977186240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6511977186240 is an abundant number, since it is smaller than the sum of its proper divisors (15469555661376).

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

6511977186240 is a wasteful number, since it uses less digits than its factorization.

6511977186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564747 (or 5564737 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 6511977186240 in words is "six trillion, five hundred eleven billion, nine hundred seventy-seven million, one hundred eighty-six thousand, two hundred forty".