75374644781664 has 1440 divisors, whose sum is σ = 252040822387200. Its totient is φ = 22023371335680.

The previous prime is 75374644781591. The next prime is 75374644781699. The reversal of 75374644781664 is 46618744647357.

75374644781664 is a `hidden beast` number, since 7 + 5 + 3 + 7 + 46 + 447 + 81 + 6 + 64 = 666.

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 = 75374644781592 and 75374644781601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 109080527559 + ... + 109080528249.

It is an arithmetic number, because the mean of its divisors is an integer number (175028348880).

Almost surely, 2^{75374644781664} 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 75374644781664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126020411193600).

75374644781664 is an abundant number, since it is smaller than the sum of its proper divisors (176666177605536).

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

75374644781664 is a wasteful number, since it uses less digits than its factorization.

75374644781664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 870 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 72.

The spelling of 75374644781664 in words is "seventy-five trillion, three hundred seventy-four billion, six hundred forty-four million, seven hundred eighty-one thousand, six hundred sixty-four".