4864425338880 has 384 divisors, whose sum is σ = 17300928153600. Its totient is φ = 1296473849856.

The previous prime is 4864425338873. The next prime is 4864425338887. The reversal of 4864425338880 is 888335244684.

4864425338880 is a `hidden beast` number, since 4 + 8 + 6 + 442 + 5 + 33 + 88 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4864425338873) and next prime (4864425338887).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4864425338887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684837409 + ... + 684844511.

It is an arithmetic number, because the mean of its divisors is an integer number (45054500400).

Almost surely, 2^{4864425338880} is an apocalyptic number.

4864425338880 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 4864425338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650464076800).

4864425338880 is an abundant number, since it is smaller than the sum of its proper divisors (12436502814720).

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

4864425338880 is a wasteful number, since it uses less digits than its factorization.

4864425338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 4864425338880 in words is "four trillion, eight hundred sixty-four billion, four hundred twenty-five million, three hundred thirty-eight thousand, eight hundred eighty".