75364277307228 has 864 divisors, whose sum is σ = 251432072027136. Its totient is φ = 18520814592000.

The previous prime is 75364277307211. The next prime is 75364277307269. The reversal of 75364277307228 is 82270377246357.

It is a happy number.

75364277307228 is a `hidden beast` number, since 7 + 5 + 36 + 4 + 2 + 77 + 307 + 228 = 666.

It is a super-2 number, since 2×75364277307228² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9611560588 + ... + 9611568428.

It is an arithmetic number, because the mean of its divisors is an integer number (291009342624).

Almost surely, 2^{75364277307228} is an apocalyptic number.

75364277307228 is a gapful number since it is divisible by the number (78) 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 75364277307228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125716036013568).

75364277307228 is an abundant number, since it is smaller than the sum of its proper divisors (176067794719908).

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

75364277307228 is a wasteful number, since it uses less digits than its factorization.

75364277307228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8011 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 63.

The spelling of 75364277307228 in words is "seventy-five trillion, three hundred sixty-four billion, two hundred seventy-seven million, three hundred seven thousand, two hundred twenty-eight".