6427903459536 has 480 divisors, whose sum is σ = 21105709960608. Its totient is φ = 1807834152960.

The previous prime is 6427903459507. The next prime is 6427903459589. The reversal of 6427903459536 is 6359543097246.

6427903459536 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 9 + 0 + 3 + 4 + 595 + 36 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 460905210000 + 5966998249536 = 678900^2 + 2442744^2 .

It is a super-2 number, since 2×6427903459536² (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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679405846 + ... + 679415306.

Almost surely, 2^{6427903459536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6427903459536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10552854980304).

6427903459536 is an abundant number, since it is smaller than the sum of its proper divisors (14677806501072).

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

6427903459536 is a wasteful number, since it uses less digits than its factorization.

6427903459536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 6427903459536 in words is "six trillion, four hundred twenty-seven billion, nine hundred three million, four hundred fifty-nine thousand, five hundred thirty-six".