6342891520 has 192 divisors, whose sum is σ = 17577181440. Its totient is φ = 2151776256.

The previous prime is 6342891517. The next prime is 6342891521. The reversal of 6342891520 is 251982436.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6342891521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7669347 + ... + 7670173.

It is an arithmetic number, because the mean of its divisors is an integer number (91547820).

Almost surely, 2^6342891520 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 6342891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788590720).

6342891520 is an abundant number, since it is smaller than the sum of its proper divisors (11234289920).

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

6342891520 is a wasteful number, since it uses less digits than its factorization.

6342891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 6342891520 is about 79642.2721925988. The cubic root of 6342891520 is about 1851.0966490415.

The spelling of 6342891520 in words is "six billion, three hundred forty-two million, eight hundred ninety-one thousand, five hundred twenty".