75906683712 has 168 divisors, whose sum is σ = 225845229792. Its totient is φ = 25278220800.

The previous prime is 75906683597. The next prime is 75906683717. The reversal of 75906683712 is 21738660957.

75906683712 is a `hidden beast` number, since 7 + 590 + 6 + 6 + 8 + 37 + 12 = 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 (75906683717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25208287 + ... + 25211297.

It is an arithmetic number, because the mean of its divisors is an integer number (1344316844).

Almost surely, 2^75906683712 is an apocalyptic number.

75906683712 is a gapful number since it is divisible by the number (72) 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 75906683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112922614896).

75906683712 is an abundant number, since it is smaller than the sum of its proper divisors (149938546080).

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

75906683712 is a wasteful number, since it uses less digits than its factorization.

75906683712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 75906683712 in words is "seventy-five billion, nine hundred six million, six hundred eighty-three thousand, seven hundred twelve".