6248196864000 has 2304 divisors, whose sum is σ = 29365809258240. Its totient is φ = 1240045977600.

The previous prime is 6248196863963. The next prime is 6248196864001. The reversal of 6248196864000 is 4686918426.

6248196864000 is a `hidden beast` number, since 6 + 2 + 48 + 196 + 8 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6248196864001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3564287124 + ... + 3564288876.

It is an arithmetic number, because the mean of its divisors is an integer number (12745576935).

Almost surely, 2^{6248196864000} is an apocalyptic number.

6248196864000 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 6248196864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682904629120).

6248196864000 is an abundant number, since it is smaller than the sum of its proper divisors (23117612394240).

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

6248196864000 is a wasteful number, since it uses less digits than its factorization.

6248196864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 6248196864000 in words is "six trillion, two hundred forty-eight billion, one hundred ninety-six million, eight hundred sixty-four thousand".