5611676400 has 180 divisors, whose sum is σ = 21244596360. Its totient is φ = 1360396800.

The previous prime is 5611676377. The next prime is 5611676419. The reversal of 5611676400 is 46761165.

5611676400 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 6 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 31255 + ... + 110454.

Almost surely, 2^5611676400 is an apocalyptic number.

5611676400 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 5611676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622298180).

5611676400 is an abundant number, since it is smaller than the sum of its proper divisors (15632919960).

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

5611676400 is a wasteful number, since it uses less digits than its factorization.

5611676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141744 (or 141730 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5611676400 is about 74911.1233395949. The cubic root of 5611676400 is about 1777.0413755026.

The spelling of 5611676400 in words is "five billion, six hundred eleven million, six hundred seventy-six thousand, four hundred".