6348616512 has 112 divisors (see below), whose sum is σ = 19237220352. Its totient is φ = 1810091520.

The previous prime is 6348616453. The next prime is 6348616523. The reversal of 6348616512 is 2156168436.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6348616512² = 80609863232878092288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 671337 + ... + 680727.

It is an arithmetic number, because the mean of its divisors is an integer number (171760896).

Almost surely, 2^6348616512 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 6348616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9618610176).

6348616512 is an abundant number, since it is smaller than the sum of its proper divisors (12888603840).

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

6348616512 is a wasteful number, since it uses less digits than its factorization.

6348616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916 (or 9906 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 6348616512 is about 79678.2060039005. The cubic root of 6348616512 is about 1851.6534049359.

The spelling of 6348616512 in words is "six billion, three hundred forty-eight million, six hundred sixteen thousand, five hundred twelve".