5682902400 has 432 divisors, whose sum is σ = 23594432940. Its totient is φ = 1298626560.

The previous prime is 5682902377. The next prime is 5682902419. The reversal of 5682902400 is 42092865.

It is a happy number.

5682902400 is a `hidden beast` number, since 568 + 2 + 90 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1409187 + ... + 1413213.

Almost surely, 2^5682902400 is an apocalyptic number.

5682902400 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 5682902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797216470).

5682902400 is an abundant number, since it is smaller than the sum of its proper divisors (17911530540).

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

5682902400 is a wasteful number, since it uses less digits than its factorization.

5682902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5682902400 is about 75385.0276911802. The cubic root of 5682902400 is about 1784.5281336349.

The spelling of 5682902400 in words is "five billion, six hundred eighty-two million, nine hundred two thousand, four hundred".