6557614940016 has 480 divisors, whose sum is σ = 22979669207040. Its totient is φ = 1770497906688.

The previous prime is 6557614940011. The next prime is 6557614940021. The reversal of 6557614940016 is 6100494167556.

6557614940016 is a `hidden beast` number, since 6 + 5 + 5 + 7 + 614 + 9 + 4 + 0 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (6557614940011) and next prime (6557614940021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6557614940011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37007020 + ... + 37183796.

It is an arithmetic number, because the mean of its divisors is an integer number (47874310848).

Almost surely, 2^{6557614940016} 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 6557614940016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489834603520).

6557614940016 is an abundant number, since it is smaller than the sum of its proper divisors (16422054267024).

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

6557614940016 is a wasteful number, since it uses less digits than its factorization.

6557614940016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176883 (or 176865 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 6557614940016 in words is "six trillion, five hundred fifty-seven billion, six hundred fourteen million, nine hundred forty thousand, sixteen".