4864608939960 has 1024 divisors, whose sum is σ = 21124974182400. Its totient is φ = 965530368000.

The previous prime is 4864608939943. The next prime is 4864608939973. The reversal of 4864608939960 is 699398064684.

4864608939960 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 608 + 9 + 3 + 9 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1906940685 + ... + 1906943235.

It is an arithmetic number, because the mean of its divisors is an integer number (20629857600).

Almost surely, 2^{4864608939960} is an apocalyptic number.

4864608939960 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 4864608939960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10562487091200).

4864608939960 is an abundant number, since it is smaller than the sum of its proper divisors (16260365242440).

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

4864608939960 is a wasteful number, since it uses less digits than its factorization.

4864608939960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 4864608939960 in words is "four trillion, eight hundred sixty-four billion, six hundred eight million, nine hundred thirty-nine thousand, nine hundred sixty".