4479538037760 has 264 divisors, whose sum is σ = 15675176978136. Its totient is φ = 1182715084800.

The previous prime is 4479538037749. The next prime is 4479538037771. The reversal of 4479538037760 is 677308359744.

4479538037760 is a `hidden beast` number, since 4 + 4 + 7 + 9 + 538 + 0 + 37 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4479538037749) and next prime (4479538037771).

It can be written as a sum of positive squares in 4 ways, for example, as 268440044544 + 4211097993216 = 518112^2 + 2052096^2 .

It is a super-2 number, since 2×4479538037760² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4172832 + ... + 5135328.

Almost surely, 2^{4479538037760} is an apocalyptic number.

4479538037760 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 4479538037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837588489068).

4479538037760 is an abundant number, since it is smaller than the sum of its proper divisors (11195638940376).

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

4479538037760 is a wasteful number, since it uses less digits than its factorization.

4479538037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962629 (or 962608 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 4479538037760 in words is "four trillion, four hundred seventy-nine billion, five hundred thirty-eight million, thirty-seven thousand, seven hundred sixty".