5675846400 has 486 divisors, whose sum is σ = 23617220172. Its totient is φ = 1296691200.

The previous prime is 5675846387. The next prime is 5675846411. The reversal of 5675846400 is 46485765.

5675846400 is a `hidden beast` number, since 5 + 6 + 7 + 584 + 64 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2821395 + ... + 2823405.

Almost surely, 2^5675846400 is an apocalyptic number.

5675846400 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 5675846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808610086).

5675846400 is an abundant number, since it is smaller than the sum of its proper divisors (17941373772).

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

5675846400 is a wasteful number, since it uses less digits than its factorization.

5675846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5675846400 is about 75338.2134112563. The cubic root of 5675846400 is about 1783.7892596958.

The spelling of 5675846400 in words is "five billion, six hundred seventy-five million, eight hundred forty-six thousand, four hundred".