75073749696 has 392 divisors, whose sum is σ = 256522728000. Its totient is φ = 21549473280.

The previous prime is 75073749631. The next prime is 75073749697. The reversal of 75073749696 is 69694737057.

75073749696 is a `hidden beast` number, since 7 + 50 + 7 + 3 + 7 + 496 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (75073749697) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 9747255 + ... + 9754953.

Almost surely, 2^75073749696 is an apocalyptic number.

75073749696 is a gapful number since it is divisible by the number (76) 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 75073749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128261364000).

75073749696 is an abundant number, since it is smaller than the sum of its proper divisors (181448978304).

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

75073749696 is a wasteful number, since it uses less digits than its factorization.

75073749696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 75073749696 in words is "seventy-five billion, seventy-three million, seven hundred forty-nine thousand, six hundred ninety-six".