5632109074800 has 1260 divisors, whose sum is σ = 22927793933520. Its totient is φ = 1325821685760.

The previous prime is 5632109074741. The next prime is 5632109074819. The reversal of 5632109074800 is 84709012365.

5632109074800 is a `hidden beast` number, since 5 + 63 + 2 + 109 + 0 + 7 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1133446716 + ... + 1133451684.

It is an arithmetic number, because the mean of its divisors is an integer number (18196661852).

It is a 1-persistent number, because it is pandigital, but 2⋅5632109074800 = 11264218149600 is not.

Almost surely, 2^{5632109074800} is an apocalyptic number.

5632109074800 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 5632109074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463896966760).

5632109074800 is an abundant number, since it is smaller than the sum of its proper divisors (17295684858720).

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

5632109074800 is a wasteful number, since it uses less digits than its factorization.

5632109074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5632109074800 in words is "five trillion, six hundred thirty-two billion, one hundred nine million, seventy-four thousand, eight hundred".