6351801587712 has 384 divisors, whose sum is σ = 21769077657600. Its totient is φ = 1814791495680.

The previous prime is 6351801587707. The next prime is 6351801587749. The reversal of 6351801587712 is 2177851081536.

6351801587712 is a `hidden beast` number, since 6 + 3 + 51 + 8 + 0 + 1 + 587 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31251537 + ... + 31454127.

It is an arithmetic number, because the mean of its divisors is an integer number (56690306400).

Almost surely, 2^{6351801587712} 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 6351801587712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10884538828800).

6351801587712 is an abundant number, since it is smaller than the sum of its proper divisors (15417276069888).

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

6351801587712 is an frugal number, since it uses more digits than its factorization.

6351801587712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202641 (or 202603 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 6351801587712 in words is "six trillion, three hundred fifty-one billion, eight hundred one million, five hundred eighty-seven thousand, seven hundred twelve".