4566619481760 has 768 divisors, whose sum is σ = 19092272209920. Its totient is φ = 996761272320.

The previous prime is 4566619481747. The next prime is 4566619481771. The reversal of 4566619481760 is 671849166654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445823199 + ... + 445833441.

It is an arithmetic number, because the mean of its divisors is an integer number (24859729440).

Almost surely, 2^{4566619481760} is an apocalyptic number.

4566619481760 is a gapful number since it is divisible by the number (40) 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 4566619481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9546136104960).

4566619481760 is an abundant number, since it is smaller than the sum of its proper divisors (14525652728160).

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

4566619481760 is a wasteful number, since it uses less digits than its factorization.

4566619481760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4566619481760 in words is "four trillion, five hundred sixty-six billion, six hundred nineteen million, four hundred eighty-one thousand, seven hundred sixty".