5003678742480 has 720 divisors, whose sum is σ = 18946157368320. Its totient is φ = 1182005637120.

The previous prime is 5003678742443. The next prime is 5003678742539. The reversal of 5003678742480 is 842478763005.

5003678742480 is a `hidden beast` number, since 5 + 0 + 0 + 3 + 67 + 87 + 424 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 978616404 + ... + 978621516.

It is an arithmetic number, because the mean of its divisors is an integer number (26314107456).

Almost surely, 2^{5003678742480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5003678742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473078684160).

5003678742480 is an abundant number, since it is smaller than the sum of its proper divisors (13942478625840).

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

5003678742480 is a wasteful number, since it uses less digits than its factorization.

5003678742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 5003678742480 in words is "five trillion, three billion, six hundred seventy-eight million, seven hundred forty-two thousand, four hundred eighty".