75640033920000 has 1760 divisors, whose sum is σ = 292787762724864. Its totient is φ = 17152409600000.

The previous prime is 75640033919981. The next prime is 75640033920023. The reversal of 75640033920000 is 2933004657.

It is a tau number, because it is divible by the number of its divisors (1760).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68576639449 + ... + 68576640551.

Almost surely, 2^{75640033920000} 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 75640033920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146393881362432).

75640033920000 is an abundant number, since it is smaller than the sum of its proper divisors (217147728804864).

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

75640033920000 is a wasteful number, since it uses less digits than its factorization.

75640033920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

Adding to 75640033920000 its reverse (2933004657), we get a palindrome (75642966924657).

The spelling of 75640033920000 in words is "seventy-five trillion, six hundred forty billion, thirty-three million, nine hundred twenty thousand".