75840037728 has 288 divisors, whose sum is σ = 254713019904. Its totient is φ = 19575456768.

The previous prime is 75840037709. The next prime is 75840037739. The reversal of 75840037728 is 82773004857.

It is a happy number.

It is a super-2 number, since 2×75840037728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2860951 + ... + 2887337.

It is an arithmetic number, because the mean of its divisors is an integer number (884420208).

Almost surely, 2^75840037728 is an apocalyptic number.

75840037728 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 75840037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127356509952).

75840037728 is an abundant number, since it is smaller than the sum of its proper divisors (178872982176).

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

75840037728 is a wasteful number, since it uses less digits than its factorization.

75840037728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26474 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 75840037728 in words is "seventy-five billion, eight hundred forty million, thirty-seven thousand, seven hundred twenty-eight".