6361545216 has 320 divisors, whose sum is σ = 19358760960. Its totient is φ = 1842462720.

The previous prime is 6361545193. The next prime is 6361545217. The reversal of 6361545216 is 6125451636.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6361545217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26617225 + ... + 26617463.

It is an arithmetic number, because the mean of its divisors is an integer number (60496128).

Almost surely, 2^6361545216 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 6361545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679380480).

6361545216 is an abundant number, since it is smaller than the sum of its proper divisors (12997215744).

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

6361545216 is a wasteful number, since it uses less digits than its factorization.

6361545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 6361545216 is about 79759.2954833479. The cubic root of 6361545216 is about 1852.9094920692.

The spelling of 6361545216 in words is "six billion, three hundred sixty-one million, five hundred forty-five thousand, two hundred sixteen".