75621605000 has 60 divisors (see below), whose sum is σ = 177226991865. Its totient is φ = 30240864000.

The previous prime is 75621604991. The next prime is 75621605009. The reversal of 75621605000 is 50612657.

It is a happy number.

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 (75621604991) and next prime (75621605009).

It can be written as a sum of positive squares in 8 ways, for example, as 193376836 + 75428228164 = 13906^2 + 274642^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=194450.

It is not an unprimeable number, because it can be changed into a prime (75621605009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19443056 + ... + 19446944.

Almost surely, 2^75621605000 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 75621605000

75621605000 is an abundant number, since it is smaller than the sum of its proper divisors (101605386865).

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

75621605000 is an frugal number, since it uses more digits than its factorization.

75621605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Multiplying 75621605000 by its sum of digits (32), we get a square (2419891360000 = 1555600²).

The spelling of 75621605000 in words is "seventy-five billion, six hundred twenty-one million, six hundred five thousand".