75492311040 has 600 divisors, whose sum is σ = 280137403392. Its totient is φ = 19428802560.

The previous prime is 75492311033. The next prime is 75492311087. The reversal of 75492311040 is 4011329457.

75492311040 is a `hidden beast` number, since 7 + 549 + 2 + 3 + 1 + 104 + 0 = 666.

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 = 75492310986 and 75492311004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205700937 + ... + 205701303.

Almost surely, 2^75492311040 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 75492311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140068701696).

75492311040 is an abundant number, since it is smaller than the sum of its proper divisors (204645092352).

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

75492311040 is an equidigital number, since it uses as much as digits as its factorization.

75492311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 408 counting only the distinct ones).

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

The spelling of 75492311040 in words is "seventy-five billion, four hundred ninety-two million, three hundred eleven thousand, forty".