75380001424 has 160 divisors (see below), whose sum is σ = 193077920000. Its totient is φ = 28250643456.

The previous prime is 75380001401. The next prime is 75380001451. The reversal of 75380001424 is 42410008357.

It is a super-2 number, since 2×75380001424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75380001424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327732 + ... + 1383340.

It is an arithmetic number, because the mean of its divisors is an integer number (1206737000).

Almost surely, 2^75380001424 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 75380001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96538960000).

75380001424 is an abundant number, since it is smaller than the sum of its proper divisors (117697918576).

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

75380001424 is a wasteful number, since it uses less digits than its factorization.

75380001424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55670 (or 55650 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 75380001424 in words is "seventy-five billion, three hundred eighty million, one thousand, four hundred twenty-four".