6531956450460 has 336 divisors, whose sum is σ = 24886902995136. Its totient is φ = 1405193619456.

The previous prime is 6531956450449. The next prime is 6531956450471. The reversal of 6531956450460 is 640546591356.

6531956450460 is a `hidden beast` number, since 6 + 5 + 3 + 19 + 5 + 64 + 504 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6531956450449) and next prime (6531956450471).

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

It is a junction number, because it is equal to n+sod(n) for n = 6531956450397 and 6531956450406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 147367 + ... + 3617406.

It is an arithmetic number, because the mean of its divisors is an integer number (74068163676).

Almost surely, 2^{6531956450460} is an apocalyptic number.

6531956450460 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 6531956450460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443451497568).

6531956450460 is an abundant number, since it is smaller than the sum of its proper divisors (18354946544676).

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

6531956450460 is a wasteful number, since it uses less digits than its factorization.

6531956450460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764824 (or 3764807 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 6531956450460 in words is "six trillion, five hundred thirty-one billion, nine hundred fifty-six million, four hundred fifty thousand, four hundred sixty".