75378108000 has 384 divisors, whose sum is σ = 267064971264. Its totient is φ = 18475776000.

The previous prime is 75378107963. The next prime is 75378108023. The reversal of 75378108000 is 80187357.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 75378108000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42275109 + ... + 42276891.

It is an arithmetic number, because the mean of its divisors is an integer number (695481696).

Almost surely, 2^75378108000 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 75378108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133532485632).

75378108000 is an abundant number, since it is smaller than the sum of its proper divisors (191686863264).

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

75378108000 is a wasteful number, since it uses less digits than its factorization.

75378108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 75378108000 in words is "seventy-five billion, three hundred seventy-eight million, one hundred eight thousand".