4819294368 has 384 divisors, whose sum is σ = 17911756800. Its totient is φ = 1227239424.

The previous prime is 4819294357. The next prime is 4819294373. The reversal of 4819294368 is 8634929184.

4819294368 is a `hidden beast` number, since 4 + 8 + 192 + 94 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1952271 + ... + 1954737.

It is an arithmetic number, because the mean of its divisors is an integer number (46645200).

Almost surely, 2^4819294368 is an apocalyptic number.

4819294368 is a gapful number since it is divisible by the number (48) 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 4819294368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955878400).

4819294368 is an abundant number, since it is smaller than the sum of its proper divisors (13092462432).

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

4819294368 is a wasteful number, since it uses less digits than its factorization.

4819294368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2515 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4819294368 is about 69421.1377607714. The cubic root of 4819294368 is about 1689.1225172902.

The spelling of 4819294368 in words is "four billion, eight hundred nineteen million, two hundred ninety-four thousand, three hundred sixty-eight".