75700224000 has 720 divisors, whose sum is σ = 287683774560. Its totient is φ = 19641139200.

The previous prime is 75700223987. The next prime is 75700224013. The reversal of 75700224000 is 42200757.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (75700223987) and next prime (75700224013).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2045951982 + ... + 2045952018.

It is an arithmetic number, because the mean of its divisors is an integer number (399560798).

Almost surely, 2^75700224000 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 75700224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143841887280).

75700224000 is an abundant number, since it is smaller than the sum of its proper divisors (211983550560).

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

75700224000 is an frugal number, since it uses more digits than its factorization.

75700224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

Adding to 75700224000 its reverse (42200757), we get a palindrome (75742424757).

The spelling of 75700224000 in words is "seventy-five billion, seven hundred million, two hundred twenty-four thousand".