6442730789760 has 1024 divisors, whose sum is σ = 23785042176000. Its totient is φ = 1647009792000.

The previous prime is 6442730789731. The next prime is 6442730789791. The reversal of 6442730789760 is 679870372446.

It is a happy number.

6442730789760 is a `hidden beast` number, since 6 + 442 + 7 + 30 + 78 + 97 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12808609669 + ... + 12808610171.

It is an arithmetic number, because the mean of its divisors is an integer number (23227580250).

Almost surely, 2^{6442730789760} is an apocalyptic number.

6442730789760 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 6442730789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892521088000).

6442730789760 is an abundant number, since it is smaller than the sum of its proper divisors (17342311386240).

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

6442730789760 is a wasteful number, since it uses less digits than its factorization.

6442730789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 6442730789760 in words is "six trillion, four hundred forty-two billion, seven hundred thirty million, seven hundred eighty-nine thousand, seven hundred sixty".