4870488268800 has 4032 divisors, whose sum is σ = 23852121366528. Its totient is φ = 955514880000.

The previous prime is 4870488268777. The next prime is 4870488268823. The reversal of 4870488268800 is 88628840784.

4870488268800 is a `hidden beast` number, since 4 + 8 + 70 + 488 + 2 + 6 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4870488268777) and next prime (4870488268823).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118792396780 + ... + 118792396820.

It is an arithmetic number, because the mean of its divisors is an integer number (5915704704).

Almost surely, 2^{4870488268800} is an apocalyptic number.

4870488268800 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 4870488268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926060683264).

4870488268800 is an abundant number, since it is smaller than the sum of its proper divisors (18981633097728).

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

4870488268800 is a wasteful number, since it uses less digits than its factorization.

4870488268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 4870488268800 in words is "four trillion, eight hundred seventy billion, four hundred eighty-eight million, two hundred sixty-eight thousand, eight hundred".