75740140800 has 1728 divisors, whose sum is σ = 328478976000. Its totient is φ = 16933847040.

The previous prime is 75740140771. The next prime is 75740140807. The reversal of 75740140800 is 804104757.

75740140800 is a `hidden beast` number, since 7 + 574 + 0 + 1 + 4 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75740140807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1283731171 + ... + 1283731229.

It is an arithmetic number, because the mean of its divisors is an integer number (190092000).

Almost surely, 2^75740140800 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 75740140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164239488000).

75740140800 is an abundant number, since it is smaller than the sum of its proper divisors (252738835200).

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

75740140800 is a wasteful number, since it uses less digits than its factorization.

75740140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 75740140800 in words is "seventy-five billion, seven hundred forty million, one hundred forty thousand, eight hundred".