6342822720 has 448 divisors, whose sum is σ = 24323040000. Its totient is φ = 1546739712.

The previous prime is 6342822697. The next prime is 6342822737. The reversal of 6342822720 is 272282436.

It is a happy number.

6342822720 is a `hidden beast` number, since 6 + 3 + 428 + 227 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16735491 + ... + 16735869.

It is an arithmetic number, because the mean of its divisors is an integer number (54292500).

Almost surely, 2^6342822720 is an apocalyptic number.

6342822720 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 6342822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161520000).

6342822720 is an abundant number, since it is smaller than the sum of its proper divisors (17980217280).

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

6342822720 is a wasteful number, since it uses less digits than its factorization.

6342822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6342822720 is about 79641.8402600040. The cubic root of 6342822720 is about 1851.0899561997.

The spelling of 6342822720 in words is "six billion, three hundred forty-two million, eight hundred twenty-two thousand, seven hundred twenty".