4752488436480 has 288 divisors, whose sum is σ = 16881872824320. Its totient is φ = 1266042286080.

The previous prime is 4752488436461. The next prime is 4752488436497. The reversal of 4752488436480 is 846348842574.

It is a happy number.

4752488436480 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 48 + 84 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4752488436480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34179579 + ... + 34318341.

Almost surely, 2^{4752488436480} is an apocalyptic number.

4752488436480 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 4752488436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440936412160).

4752488436480 is an abundant number, since it is smaller than the sum of its proper divisors (12129384387840).

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

4752488436480 is a wasteful number, since it uses less digits than its factorization.

4752488436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139784 (or 139764 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 4752488436480 in words is "four trillion, seven hundred fifty-two billion, four hundred eighty-eight million, four hundred thirty-six thousand, four hundred eighty".