6442685641560 has 192 divisors, whose sum is σ = 22499443249920. Its totient is φ = 1471579979520.

The previous prime is 6442685641547. The next prime is 6442685641619. The reversal of 6442685641560 is 651465862446.

It is a self number, because there is not a number n which added to its sum of digits gives 6442685641560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8006845 + ... + 8774675.

It is an arithmetic number, because the mean of its divisors is an integer number (117184600260).

Almost surely, 2^{6442685641560} is an apocalyptic number.

6442685641560 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 6442685641560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249721624960).

6442685641560 is an abundant number, since it is smaller than the sum of its proper divisors (16056757608360).

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

6442685641560 is a wasteful number, since it uses less digits than its factorization.

6442685641560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769286 (or 769275 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 6442685641560 in words is "six trillion, four hundred forty-two billion, six hundred eighty-five million, six hundred forty-one thousand, five hundred sixty".