75963431040 has 256 divisors, whose sum is σ = 293002686720. Its totient is φ = 16341663744.

The previous prime is 75963431039. The next prime is 75963431069. The reversal of 75963431040 is 4013436957.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 75963430983 and 75963431001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62244 + ... + 394716.

It is an arithmetic number, because the mean of its divisors is an integer number (1144541745).

Almost surely, 2^75963431040 is an apocalyptic number.

75963431040 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 75963431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146501343360).

75963431040 is an abundant number, since it is smaller than the sum of its proper divisors (217039255680).

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

75963431040 is a wasteful number, since it uses less digits than its factorization.

75963431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332519 (or 332507 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

Adding to 75963431040 its reverse (4013436957), we get a palindrome (79976867997).

The spelling of 75963431040 in words is "seventy-five billion, nine hundred sixty-three million, four hundred thirty-one thousand, forty".