4619236875264 has 1056 divisors, whose sum is σ = 16414931909376. Its totient is φ = 1281345454080.

The previous prime is 4619236875259. The next prime is 4619236875269. The reversal of 4619236875264 is 4625786329164.

4619236875264 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 2 + 368 + 7 + 5 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (4619236875259) and next prime (4619236875269).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×4619236875264³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4619236875269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1721667267 + ... + 1721669949.

It is an arithmetic number, because the mean of its divisors is an integer number (15544443096).

Almost surely, 2^{4619236875264} is an apocalyptic number.

4619236875264 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 4619236875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207465954688).

4619236875264 is an abundant number, since it is smaller than the sum of its proper divisors (11795695034112).

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

4619236875264 is a wasteful number, since it uses less digits than its factorization.

4619236875264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2753 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 4619236875264 in words is "four trillion, six hundred nineteen billion, two hundred thirty-six million, eight hundred seventy-five thousand, two hundred sixty-four".