5661377400 has 384 divisors, whose sum is σ = 21821460480. Its totient is φ = 1184440320.

The previous prime is 5661377369. The next prime is 5661377401. The reversal of 5661377400 is 47731665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5661377401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2640729 + ... + 2642871.

It is an arithmetic number, because the mean of its divisors is an integer number (56826720).

Almost surely, 2^5661377400 is an apocalyptic number.

5661377400 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 5661377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910730240).

5661377400 is an abundant number, since it is smaller than the sum of its proper divisors (16160083080).

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

5661377400 is a wasteful number, since it uses less digits than its factorization.

5661377400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 5661377400 is about 75242.1251693491. The cubic root of 5661377400 is about 1782.2722108066.

The spelling of 5661377400 in words is "five billion, six hundred sixty-one million, three hundred seventy-seven thousand, four hundred".