4864436601360 has 320 divisors, whose sum is σ = 17308669317120. Its totient is φ = 1107059374080.

The previous prime is 4864436601331. The next prime is 4864436601373. The reversal of 4864436601360 is 631066344684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1342652509 + ... + 1342656131.

It is an arithmetic number, because the mean of its divisors is an integer number (54089591616).

Almost surely, 2^{4864436601360} is an apocalyptic number.

4864436601360 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 4864436601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654334658560).

4864436601360 is an abundant number, since it is smaller than the sum of its proper divisors (12444232715760).

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

4864436601360 is a wasteful number, since it uses less digits than its factorization.

4864436601360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 4864436601360 in words is "four trillion, eight hundred sixty-four billion, four hundred thirty-six million, six hundred one thousand, three hundred sixty".