75407642000 has 80 divisors (see below), whose sum is σ = 182557065600. Its totient is φ = 30126435200.

The previous prime is 75407641979. The next prime is 75407642027. The reversal of 75407642000 is 24670457.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655531 + ... + 1700469.

It is an arithmetic number, because the mean of its divisors is an integer number (2281963320).

Almost surely, 2^75407642000 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 75407642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91278532800).

75407642000 is an abundant number, since it is smaller than the sum of its proper divisors (107149423600).

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

75407642000 is a wasteful number, since it uses less digits than its factorization.

75407642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45801 (or 45785 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 75407642000 in words is "seventy-five billion, four hundred seven million, six hundred forty-two thousand".