75468555369072 has 560 divisors, whose sum is σ = 235219233934080. Its totient is φ = 23362973337600.

The previous prime is 75468555369041. The next prime is 75468555369113. The reversal of 75468555369072 is 27096355586457.

75468555369072 is a `hidden beast` number, since 7 + 5 + 4 + 6 + 8 + 5 + 553 + 69 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4649647197 + ... + 4649663427.

Almost surely, 2^{75468555369072} is an apocalyptic number.

75468555369072 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 75468555369072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117609616967040).

75468555369072 is an abundant number, since it is smaller than the sum of its proper divisors (159750678565008).

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

75468555369072 is a wasteful number, since it uses less digits than its factorization.

75468555369072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16584 (or 16563 counting only the distinct ones).

The product of its (nonzero) digits is 1905120000, while the sum is 72.

The spelling of 75468555369072 in words is "seventy-five trillion, four hundred sixty-eight billion, five hundred fifty-five million, three hundred sixty-nine thousand, seventy-two".