6361668720 has 400 divisors, whose sum is σ = 24889835520. Its totient is φ = 1491955200.

The previous prime is 6361668707. The next prime is 6361668757. The reversal of 6361668720 is 278661636.

6361668720 is a `hidden beast` number, since 6 + 3 + 616 + 6 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 2208241 + ... + 2211119.

Almost surely, 2^6361668720 is an apocalyptic number.

6361668720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6361668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444917760).

6361668720 is an abundant number, since it is smaller than the sum of its proper divisors (18528166800).

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

6361668720 is a wasteful number, since it uses less digits than its factorization.

6361668720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6361668720 is about 79760.0697090969. The cubic root of 6361668720 is about 1852.9214828799.

The spelling of 6361668720 in words is "six billion, three hundred sixty-one million, six hundred sixty-eight thousand, seven hundred twenty".