6342464560 has 80 divisors (see below), whose sum is σ = 14898546432. Its totient is φ = 2510892800.

The previous prime is 6342464551. The next prime is 6342464581. The reversal of 6342464560 is 654642436.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6151245 + ... + 6152275.

Almost surely, 2^6342464560 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 6342464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449273216).

6342464560 is an abundant number, since it is smaller than the sum of its proper divisors (8556081872).

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

6342464560 is a wasteful number, since it uses less digits than its factorization.

6342464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The square root of 6342464560 is about 79639.5916614343. The cubic root of 6342464560 is about 1851.0551137282.

The spelling of 6342464560 in words is "six billion, three hundred forty-two million, four hundred sixty-four thousand, five hundred sixty".