75664542240 has 576 divisors, whose sum is σ = 304014477312. Its totient is φ = 16776806400.

The previous prime is 75664542221. The next prime is 75664542257. The reversal of 75664542240 is 4224546657.

75664542240 is a `hidden beast` number, since 7 + 5 + 6 + 64 + 542 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92161030 + ... + 92161850.

It is an arithmetic number, because the mean of its divisors is an integer number (527802912).

Almost surely, 2^75664542240 is an apocalyptic number.

75664542240 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 75664542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152007238656).

75664542240 is an abundant number, since it is smaller than the sum of its proper divisors (228349935072).

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

75664542240 is a wasteful number, since it uses less digits than its factorization.

75664542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 75664542240 in words is "seventy-five billion, six hundred sixty-four million, five hundred forty-two thousand, two hundred forty".