4896612557760 has 896 divisors, whose sum is σ = 19749775933440. Its totient is φ = 998384025600.

The previous prime is 4896612557731. The next prime is 4896612557777. The reversal of 4896612557760 is 677552166984.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4896612557691 and 4896612557700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 975224050 + ... + 975229070.

It is an arithmetic number, because the mean of its divisors is an integer number (22042160640).

Almost surely, 2^{4896612557760} is an apocalyptic number.

4896612557760 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 4896612557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874887966720).

4896612557760 is an abundant number, since it is smaller than the sum of its proper divisors (14853163375680).

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

4896612557760 is a wasteful number, since it uses less digits than its factorization.

4896612557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 4896612557760 in words is "four trillion, eight hundred ninety-six billion, six hundred twelve million, five hundred fifty-seven thousand, seven hundred sixty".