4944656676480 has 1024 divisors, whose sum is σ = 17588938752000. Its totient is φ = 1176026480640.

The previous prime is 4944656676469. The next prime is 4944656676481. The reversal of 4944656676480 is 846766564494.

It is not an unprimeable number, because it can be changed into a prime (4944656676481) by changing a digit.

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, 11801089711 + ... + 11801090129.

It is an arithmetic number, because the mean of its divisors is an integer number (17176698000).

Almost surely, 2^{4944656676480} is an apocalyptic number.

4944656676480 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 4944656676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794469376000).

4944656676480 is an abundant number, since it is smaller than the sum of its proper divisors (12644282075520).

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

4944656676480 is a wasteful number, since it uses less digits than its factorization.

4944656676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 69.

The spelling of 4944656676480 in words is "four trillion, nine hundred forty-four billion, six hundred fifty-six million, six hundred seventy-six thousand, four hundred eighty".