4800920879664 has 540 divisors, whose sum is σ = 17551225384056. Its totient is φ = 1266168443904.

The previous prime is 4800920879633. The next prime is 4800920879701. The reversal of 4800920879664 is 4669780290084.

4800920879664 is a `hidden beast` number, since 480 + 0 + 9 + 2 + 0 + 8 + 7 + 96 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32121972 + ... + 32271084.

Almost surely, 2^{4800920879664} 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 4800920879664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775612692028).

4800920879664 is an abundant number, since it is smaller than the sum of its proper divisors (12750304504392).

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

4800920879664 is a wasteful number, since it uses less digits than its factorization.

4800920879664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149176 (or 149138 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4800920879664 in words is "four trillion, eight hundred billion, nine hundred twenty million, eight hundred seventy-nine thousand, six hundred sixty-four".