4864072859520 has 256 divisors, whose sum is σ = 17721683020800. Its totient is φ = 1111627431936.

The previous prime is 4864072859447. The next prime is 4864072859537. The reversal of 4864072859520 is 259582704684.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110306917 + ... + 110351003.

It is an arithmetic number, because the mean of its divisors is an integer number (69225324300).

Almost surely, 2^{4864072859520} is an apocalyptic number.

4864072859520 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 4864072859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8860841510400).

4864072859520 is an abundant number, since it is smaller than the sum of its proper divisors (12857610161280).

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

4864072859520 is a wasteful number, since it uses less digits than its factorization.

4864072859520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52325 (or 52313 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 4864072859520 in words is "four trillion, eight hundred sixty-four billion, seventy-two million, eight hundred fifty-nine thousand, five hundred twenty".