75697307136 has 560 divisors, whose sum is σ = 251178744960. Its totient is φ = 22588968960.

The previous prime is 75697307123. The next prime is 75697307137. The reversal of 75697307136 is 63170379657.

75697307136 is a `hidden beast` number, since 7 + 569 + 7 + 3 + 0 + 71 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75697307137) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 422889895 + ... + 422890073.

Almost surely, 2^75697307136 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 75697307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125589372480).

75697307136 is an abundant number, since it is smaller than the sum of its proper divisors (175481437824).

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

75697307136 is a wasteful number, since it uses less digits than its factorization.

75697307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 75697307136 in words is "seventy-five billion, six hundred ninety-seven million, three hundred seven thousand, one hundred thirty-six".