4992742077480 has 320 divisors, whose sum is σ = 18146346071040. Its totient is φ = 1226418444288.

The previous prime is 4992742077467. The next prime is 4992742077481. The reversal of 4992742077480 is 847702472994.

4992742077480 is a `hidden beast` number, since 4 + 99 + 27 + 42 + 0 + 7 + 7 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (4992742077481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1624449 + ... + 3553071.

It is an arithmetic number, because the mean of its divisors is an integer number (56707331472).

Almost surely, 2^{4992742077480} is an apocalyptic number.

4992742077480 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 4992742077480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073173035520).

4992742077480 is an abundant number, since it is smaller than the sum of its proper divisors (13153603993560).

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

4992742077480 is a wasteful number, since it uses less digits than its factorization.

4992742077480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928710 (or 1928697 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 4992742077480 in words is "four trillion, nine hundred ninety-two billion, seven hundred forty-two million, seventy-seven thousand, four hundred eighty".