4903864568064 has 1152 divisors, whose sum is σ = 18882243072000. Its totient is φ = 1243824906240.

The previous prime is 4903864568063. The next prime is 4903864568089. The reversal of 4903864568064 is 4608654683094.

4903864568064 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 8 + 6 + 4 + 568 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 4903864567992 and 4903864568010.

It is not an unprimeable number, because it can be changed into a prime (4903864568063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1121393782 + ... + 1121398154.

It is an arithmetic number, because the mean of its divisors is an integer number (16390836000).

Almost surely, 2^{4903864568064} is an apocalyptic number.

4903864568064 is a gapful number since it is divisible by the number (44) 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 4903864568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9441121536000).

4903864568064 is an abundant number, since it is smaller than the sum of its proper divisors (13978378503936).

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

4903864568064 is a wasteful number, since it uses less digits than its factorization.

4903864568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4903864568064 in words is "four trillion, nine hundred three billion, eight hundred sixty-four million, five hundred sixty-eight thousand, sixty-four".