5846774400 has 576 divisors, whose sum is σ = 22144624320. Its totient is φ = 1522851840.

The previous prime is 5846774399. The next prime is 5846774407. The reversal of 5846774400 is 44776485.

5846774400 is a `hidden beast` number, since 584 + 67 + 7 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5846774407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56764749 + ... + 56764851.

Almost surely, 2^5846774400 is an apocalyptic number.

5846774400 is a gapful number since it is divisible by the number (50) 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 5846774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11072312160).

5846774400 is an abundant number, since it is smaller than the sum of its proper divisors (16297849920).

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

5846774400 is a wasteful number, since it uses less digits than its factorization.

5846774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 5846774400 is about 76464.2033895600. The cubic root of 5846774400 is about 1801.5187182479.

The spelling of 5846774400 in words is "five billion, eight hundred forty-six million, seven hundred seventy-four thousand, four hundred".