75696541920 has 576 divisors, whose sum is σ = 285667409664. Its totient is φ = 18172477440.

The previous prime is 75696541853. The next prime is 75696541939. The reversal of 75696541920 is 2914569657.

75696541920 is a `hidden beast` number, since 7 + 5 + 6 + 9 + 6 + 541 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53194329 + ... + 53195751.

It is an arithmetic number, because the mean of its divisors is an integer number (495950364).

Almost surely, 2^75696541920 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 75696541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142833704832).

75696541920 is an abundant number, since it is smaller than the sum of its proper divisors (209970867744).

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

75696541920 is a wasteful number, since it uses less digits than its factorization.

75696541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 75696541920 in words is "seventy-five billion, six hundred ninety-six million, five hundred forty-one thousand, nine hundred twenty".