75478151139840 has 480 divisors, whose sum is σ = 276896369033856. Its totient is φ = 18935479664640.

The previous prime is 75478151139757. The next prime is 75478151139869. The reversal of 75478151139840 is 4893115187457.

75478151139840 is a `hidden beast` number, since 7 + 5 + 4 + 7 + 8 + 1 + 511 + 39 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949000875 + ... + 949080405.

Almost surely, 2^{75478151139840} 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 75478151139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138448184516928).

75478151139840 is an abundant number, since it is smaller than the sum of its proper divisors (201418217894016).

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

75478151139840 is a wasteful number, since it uses less digits than its factorization.

75478151139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82000 (or 81981 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 75478151139840 in words is "seventy-five trillion, four hundred seventy-eight billion, one hundred fifty-one million, one hundred thirty-nine thousand, eight hundred forty".