6197958544320 has 336 divisors, whose sum is σ = 22169647019520. Its totient is φ = 1648177652736.

The previous prime is 6197958544301. The next prime is 6197958544343. The reversal of 6197958544320 is 234458597916.

6197958544320 is a `hidden beast` number, since 6 + 1 + 9 + 7 + 9 + 58 + 544 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27804829 + ... + 28026851.

It is an arithmetic number, because the mean of its divisors is an integer number (65981092320).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6197958544320 = 12395917088640, but 3⋅6197958544320 = 18593875632960 is not.

Almost surely, 2^{6197958544320} is an apocalyptic number.

6197958544320 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 6197958544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11084823509760).

6197958544320 is an abundant number, since it is smaller than the sum of its proper divisors (15971688475200).

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

6197958544320 is a wasteful number, since it uses less digits than its factorization.

6197958544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222414 (or 222392 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 6197958544320 in words is "six trillion, one hundred ninety-seven billion, nine hundred fifty-eight million, five hundred forty-four thousand, three hundred twenty".