75180426048 has 1120 divisors, whose sum is σ = 294928381440. Its totient is φ = 18503147520.

The previous prime is 75180426029. The next prime is 75180426073. The reversal of 75180426048 is 84062408157.

75180426048 is a `hidden beast` number, since 7 + 5 + 180 + 426 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75180425994 and 75180426012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1833668908 + ... + 1833668948.

It is an arithmetic number, because the mean of its divisors is an integer number (263328912).

Almost surely, 2^75180426048 is an apocalyptic number.

75180426048 is a gapful number since it is divisible by the number (78) 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 75180426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147464190720).

75180426048 is an abundant number, since it is smaller than the sum of its proper divisors (219747955392).

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

75180426048 is a wasteful number, since it uses less digits than its factorization.

75180426048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 75180426048 in words is "seventy-five billion, one hundred eighty million, four hundred twenty-six thousand, forty-eight".