5613221376 has 640 divisors, whose sum is σ = 20741529600. Its totient is φ = 1463132160.

The previous prime is 5613221267. The next prime is 5613221387. The reversal of 5613221376 is 6731223165.

5613221376 is a `hidden beast` number, since 5 + 61 + 3 + 221 + 376 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5613221376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79059421 + ... + 79059491.

It is an arithmetic number, because the mean of its divisors is an integer number (32408640).

Almost surely, 2^5613221376 is an apocalyptic number.

5613221376 is a gapful number since it is divisible by the number (56) 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 5613221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370764800).

5613221376 is an abundant number, since it is smaller than the sum of its proper divisors (15128308224).

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

5613221376 is a wasteful number, since it uses less digits than its factorization.

5613221376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5613221376 is about 74921.4346899470. The cubic root of 5613221376 is about 1777.2044423037.

The spelling of 5613221376 in words is "five billion, six hundred thirteen million, two hundred twenty-one thousand, three hundred seventy-six".