5661068400 has 480 divisors, whose sum is σ = 22088239040. Its totient is φ = 1368576000.

The previous prime is 5661068389. The next prime is 5661068443. The reversal of 5661068400 is 48601665.

5661068400 is a `hidden beast` number, since 566 + 10 + 6 + 84 + 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 95 ways as a sum of consecutive naturals, for example, 8564070 + ... + 8564730.

Almost surely, 2^5661068400 is an apocalyptic number.

5661068400 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 5661068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044119520).

5661068400 is an abundant number, since it is smaller than the sum of its proper divisors (16427170640).

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

5661068400 is a wasteful number, since it uses less digits than its factorization.

5661068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 745 counting only the distinct ones).

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

The square root of 5661068400 is about 75240.0717703007. The cubic root of 5661068400 is about 1782.2397845321.

The spelling of 5661068400 in words is "five billion, six hundred sixty-one million, sixty-eight thousand, four hundred".