75418142688 has 192 divisors, whose sum is σ = 252400458240. Its totient is φ = 21461760000.

The previous prime is 75418142671. The next prime is 75418142693. The reversal of 75418142688 is 88624181457.

75418142688 is a `hidden beast` number, since 7 + 5 + 418 + 142 + 6 + 88 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493208 + ... + 1542888.

It is an arithmetic number, because the mean of its divisors is an integer number (1314585720).

Almost surely, 2^75418142688 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 75418142688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126200229120).

75418142688 is an abundant number, since it is smaller than the sum of its proper divisors (176982315552).

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

75418142688 is a wasteful number, since it uses less digits than its factorization.

75418142688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49958 (or 49944 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 75418142688 in words is "seventy-five billion, four hundred eighteen million, one hundred forty-two thousand, six hundred eighty-eight".