5874777216 has 384 divisors, whose sum is σ = 21314442240. Its totient is φ = 1508751360.

The previous prime is 5874777187. The next prime is 5874777247. The reversal of 5874777216 is 6127774785.

5874777216 is a `hidden beast` number, since 587 + 47 + 7 + 7 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (4609920) is a multiple of the sum of its prime factors (784).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9136191 + ... + 9136833.

It is an arithmetic number, because the mean of its divisors is an integer number (55506360).

Almost surely, 2^5874777216 is an apocalyptic number.

5874777216 is a gapful number since it is divisible by the number (56) 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 5874777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657221120).

5874777216 is an abundant number, since it is smaller than the sum of its proper divisors (15439665024).

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

5874777216 is a wasteful number, since it uses less digits than its factorization.

5874777216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The square root of 5874777216 is about 76647.0952874276. The cubic root of 5874777216 is about 1804.3902315907.

The spelling of 5874777216 in words is "five billion, eight hundred seventy-four million, seven hundred seventy-seven thousand, two hundred sixteen".