6315139072000 has 816 divisors, whose sum is σ = 18144244512576. Its totient is φ = 2188640256000.

The previous prime is 6315139071991. The next prime is 6315139072009. The reversal of 6315139072000 is 2709315136.

It is an interprime number because it is at equal distance from previous prime (6315139071991) and next prime (6315139072009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315139072009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22798335862 + ... + 22798336138.

Almost surely, 2^{6315139072000} 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 6315139072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072122256288).

6315139072000 is an abundant number, since it is smaller than the sum of its proper divisors (11829105440576).

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

6315139072000 is an equidigital number, since it uses as much as digits as its factorization.

6315139072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 6315139072000 in words is "six trillion, three hundred fifteen billion, one hundred thirty-nine million, seventy-two thousand".