6145302768 has 160 divisors (see below), whose sum is σ = 18401679360. Its totient is φ = 1749242880.

The previous prime is 6145302727. The next prime is 6145302773. The reversal of 6145302768 is 8672035416.

It is a super-2 number, since 2×6145302768² = 75529492220776923648, which contains 22 as substring.

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, 561121 + ... + 571967.

It is an arithmetic number, because the mean of its divisors is an integer number (115010496).

Almost surely, 2^6145302768 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 6145302768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200839680).

6145302768 is an abundant number, since it is smaller than the sum of its proper divisors (12256376592).

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

6145302768 is a wasteful number, since it uses less digits than its factorization.

6145302768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10929 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 6145302768 is about 78391.9815287252. The cubic root of 6145302768 is about 1831.6722318086.

The spelling of 6145302768 in words is "six billion, one hundred forty-five million, three hundred two thousand, seven hundred sixty-eight".