6254978236416 has 2560 divisors, whose sum is σ = 25578153216000. Its totient is φ = 1476843798528.

The previous prime is 6254978236337. The next prime is 6254978236421. The reversal of 6254978236416 is 6146328794526.

6254978236416 is a `hidden beast` number, since 6 + 2 + 5 + 497 + 82 + 3 + 64 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (104509440) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133084643305 + ... + 133084643351.

It is an arithmetic number, because the mean of its divisors is an integer number (9991466100).

Almost surely, 2^{6254978236416} 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 6254978236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789076608000).

6254978236416 is an abundant number, since it is smaller than the sum of its proper divisors (19323174979584).

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

6254978236416 is a wasteful number, since it uses less digits than its factorization.

6254978236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 6254978236416 in words is "six trillion, two hundred fifty-four billion, nine hundred seventy-eight million, two hundred thirty-six thousand, four hundred sixteen".