6351278721536 has 160 divisors (see below), whose sum is σ = 14698597562880. Its totient is φ = 2685328588800.

The previous prime is 6351278721521. The next prime is 6351278721559.

6351278721536 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374014166 + ... + 374031146.

It is an arithmetic number, because the mean of its divisors is an integer number (91866234768).

Almost surely, 2^{6351278721536} 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 6351278721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349298781440).

6351278721536 is an abundant number, since it is smaller than the sum of its proper divisors (8347318841344).

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

6351278721536 is a wasteful number, since it uses less digits than its factorization.

6351278721536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18406 (or 18390 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 56.

The spelling of 6351278721536 in words is "six trillion, three hundred fifty-one billion, two hundred seventy-eight million, seven hundred twenty-one thousand, five hundred thirty-six".