75940416000 has 960 divisors, whose sum is σ = 299744565120. Its totient is φ = 19110297600.

The previous prime is 75940415953. The next prime is 75940416001. The reversal of 75940416000 is 61404957.

75940416000 is a `hidden beast` number, since 7 + 5 + 9 + 4 + 0 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75940416001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295487872 + ... + 295488128.

It is an arithmetic number, because the mean of its divisors is an integer number (312233922).

Almost surely, 2^75940416000 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 75940416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149872282560).

75940416000 is an abundant number, since it is smaller than the sum of its proper divisors (223804149120).

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

75940416000 is an equidigital number, since it uses as much as digits as its factorization.

75940416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 75940416000 in words is "seventy-five billion, nine hundred forty million, four hundred sixteen thousand".