5601776960 has 224 divisors, whose sum is σ = 15140708352. Its totient is φ = 1958584320.

The previous prime is 5601776953. The next prime is 5601776977. The reversal of 5601776960 is 696771065.

It is a happy number.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12151130 + ... + 12151590.

It is an arithmetic number, because the mean of its divisors is an integer number (67592448).

Almost surely, 2^5601776960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5601776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570354176).

5601776960 is an abundant number, since it is smaller than the sum of its proper divisors (9538931392).

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

5601776960 is a wasteful number, since it uses less digits than its factorization.

5601776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 5601776960 is about 74845.0196071856. The cubic root of 5601776960 is about 1775.9958133711.

The spelling of 5601776960 in words is "five billion, six hundred one million, seven hundred seventy-six thousand, nine hundred sixty".