6258976278048 has 288 divisors, whose sum is σ = 19810533415680. Its totient is φ = 1921658618880.

The previous prime is 6258976278029. The next prime is 6258976278161. The reversal of 6258976278048 is 8408726798526.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 67559118 + ... + 67651698.

It is an arithmetic number, because the mean of its divisors is an integer number (68786574360).

Almost surely, 2^{6258976278048} 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 6258976278048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905266707840).

6258976278048 is an abundant number, since it is smaller than the sum of its proper divisors (13551557137632).

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

6258976278048 is a wasteful number, since it uses less digits than its factorization.

6258976278048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93089 (or 93062 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 6258976278048 in words is "six trillion, two hundred fifty-eight billion, nine hundred seventy-six million, two hundred seventy-eight thousand, forty-eight".