5609360764800 has 384 divisors, whose sum is σ = 22107837612000. Its totient is φ = 1380765450240.

The previous prime is 5609360764771. The next prime is 5609360764807. The reversal of 5609360764800 is 84670639065.

5609360764800 is a `hidden beast` number, since 5 + 6 + 0 + 93 + 6 + 0 + 76 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5609360764807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373845 + ... + 3620244.

Almost surely, 2^{5609360764800} is an apocalyptic number.

5609360764800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5609360764800 is an abundant number, since it is smaller than the sum of its proper divisors (16498476847200).

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

5609360764800 is a wasteful number, since it uses less digits than its factorization.

5609360764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994135 (or 4994112 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5609360764800 in words is "five trillion, six hundred nine billion, three hundred sixty million, seven hundred sixty-four thousand, eight hundred".