75363281786880 has 1152 divisors, whose sum is σ = 281725599355200. Its totient is φ = 18593526841344.

The previous prime is 75363281786879. The next prime is 75363281786929. The reversal of 75363281786880 is 8868718236357.

75363281786880 is a `hidden beast` number, since 7 + 53 + 6 + 328 + 178 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 75363281786799 and 75363281786808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6090940374 + ... + 6090952746.

Almost surely, 2^{75363281786880} 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 75363281786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140862799677600).

75363281786880 is an abundant number, since it is smaller than the sum of its proper divisors (206362317568320).

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

75363281786880 is a wasteful number, since it uses less digits than its factorization.

75363281786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 75363281786880 in words is "seventy-five trillion, three hundred sixty-three billion, two hundred eighty-one million, seven hundred eighty-six thousand, eight hundred eighty".