75535379712 has 864 divisors, whose sum is σ = 263988781056. Its totient is φ = 21349785600.

The previous prime is 75535379671. The next prime is 75535379729. The reversal of 75535379712 is 21797353557.

It is a happy number.

75535379712 is a `hidden beast` number, since 7 + 5 + 5 + 3 + 537 + 97 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 576605887 + ... + 576606017.

Almost surely, 2^75535379712 is an apocalyptic number.

75535379712 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 75535379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131994390528).

75535379712 is an abundant number, since it is smaller than the sum of its proper divisors (188453401344).

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

75535379712 is a wasteful number, since it uses less digits than its factorization.

75535379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its digits is 6945750, while the sum is 54.

The spelling of 75535379712 in words is "seventy-five billion, five hundred thirty-five million, three hundred seventy-nine thousand, seven hundred twelve".