4875763453440 has 640 divisors, whose sum is σ = 17464561196544. Its totient is φ = 1150156800000.

The previous prime is 4875763453427. The next prime is 4875763453507. The reversal of 4875763453440 is 443543675784.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1499771815 + ... + 1499775065.

Almost surely, 2^{4875763453440} is an apocalyptic number.

4875763453440 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 4875763453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732280598272).

4875763453440 is an abundant number, since it is smaller than the sum of its proper divisors (12588797743104).

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

4875763453440 is a wasteful number, since it uses less digits than its factorization.

4875763453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 60.

The spelling of 4875763453440 in words is "four trillion, eight hundred seventy-five billion, seven hundred sixty-three million, four hundred fifty-three thousand, four hundred forty".