6556912727040 has 660 divisors, whose sum is σ = 25442976338604. Its totient is φ = 1613992034304.

The previous prime is 6556912727021. The next prime is 6556912727059. The reversal of 6556912727040 is 407272196556.

It is a happy number.

6556912727040 is a `hidden beast` number, since 6 + 5 + 569 + 1 + 2 + 7 + 2 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6556912727021) and next prime (6556912727059).

It can be written as a sum of positive squares in 6 ways, for example, as 1052971508736 + 5503941218304 = 1026144^2 + 2346048^2 .

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

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 59 ways as a sum of consecutive naturals, for example, 70040904 + ... + 70134456.

Almost surely, 2^{6556912727040} is an apocalyptic number.

6556912727040 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 6556912727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721488169302).

6556912727040 is an abundant number, since it is smaller than the sum of its proper divisors (18886063611564).

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

6556912727040 is a wasteful number, since it uses less digits than its factorization.

6556912727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93616 (or 93576 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 6556912727040 in words is "six trillion, five hundred fifty-six billion, nine hundred twelve million, seven hundred twenty-seven thousand, forty".