6313761063264 has 96 divisors (see below), whose sum is σ = 17451712656000. Its totient is φ = 1993157121024.

The previous prime is 6313761063223. The next prime is 6313761063299. The reversal of 6313761063264 is 4623601673136.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4933372 + ... + 6079940.

It is an arithmetic number, because the mean of its divisors is an integer number (181788673500).

Almost surely, 2^{6313761063264} 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 6313761063264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725856328000).

6313761063264 is an abundant number, since it is smaller than the sum of its proper divisors (11137951592736).

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

6313761063264 is a wasteful number, since it uses less digits than its factorization.

6313761063264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149620 (or 1149612 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 6313761063264 in words is "six trillion, three hundred thirteen billion, seven hundred sixty-one million, sixty-three thousand, two hundred sixty-four".