5007479527680 has 288 divisors, whose sum is σ = 18301972598784. Its totient is φ = 1143021723648.

The previous prime is 5007479527667. The next prime is 5007479527681. The reversal of 5007479527680 is 867259747005.

It is a super-3 number, since 3×5007479527680³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (5007479527681) 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 31 ways as a sum of consecutive naturals, for example, 19846477 + ... + 20097203.

It is an arithmetic number, because the mean of its divisors is an integer number (63548515968).

Almost surely, 2^{5007479527680} 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 5007479527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150986299392).

5007479527680 is an abundant number, since it is smaller than the sum of its proper divisors (13294493071104).

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

5007479527680 is a wasteful number, since it uses less digits than its factorization.

5007479527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251501 (or 251487 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 5007479527680 in words is "five trillion, seven billion, four hundred seventy-nine million, five hundred twenty-seven thousand, six hundred eighty".