75073703040 has 896 divisors, whose sum is σ = 311661342720. Its totient is φ = 16930529280.

The previous prime is 75073703027. The next prime is 75073703041. The reversal of 75073703040 is 4030737057.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 75073702986 and 75073703004.

It is not an unprimeable number, because it can be changed into a prime (75073703041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 414771750 + ... + 414771930.

It is an arithmetic number, because the mean of its divisors is an integer number (347836320).

Almost surely, 2^75073703040 is an apocalyptic number.

75073703040 is a gapful number since it is divisible by the number (70) 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 75073703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155830671360).

75073703040 is an abundant number, since it is smaller than the sum of its proper divisors (236587639680).

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

75073703040 is a wasteful number, since it uses less digits than its factorization.

75073703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The spelling of 75073703040 in words is "seventy-five billion, seventy-three million, seven hundred three thousand, forty".