4956720209280 has 768 divisors, whose sum is σ = 19695613916160. Its totient is φ = 1125218304000.

The previous prime is 4956720209263. The next prime is 4956720209299. The reversal of 4956720209280 is 829020276594.

4956720209280 is a `hidden beast` number, since 4 + 95 + 6 + 72 + 0 + 209 + 280 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6547846662 + ... + 6547847418.

It is an arithmetic number, because the mean of its divisors is an integer number (25645330620).

Almost surely, 2^{4956720209280} is an apocalyptic number.

4956720209280 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 4956720209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847806958080).

4956720209280 is an abundant number, since it is smaller than the sum of its proper divisors (14738893706880).

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

4956720209280 is a wasteful number, since it uses less digits than its factorization.

4956720209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4956720209280 in words is "four trillion, nine hundred fifty-six billion, seven hundred twenty million, two hundred nine thousand, two hundred eighty".