75993274775040 has 320 divisors, whose sum is σ = 277722085791744. Its totient is φ = 17365185036288.

The previous prime is 75993274774999. The next prime is 75993274775051. The reversal of 75993274775040 is 4057747239957.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×75993274775040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200173882 + ... + 200553158.

Almost surely, 2^{75993274775040} is an apocalyptic number.

75993274775040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75993274775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138861042895872).

75993274775040 is an abundant number, since it is smaller than the sum of its proper divisors (201728811016704).

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

75993274775040 is a wasteful number, since it uses less digits than its factorization.

75993274775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383037 (or 383021 counting only the distinct ones).

The product of its (nonzero) digits is 466754400, while the sum is 69.

The spelling of 75993274775040 in words is "seventy-five trillion, nine hundred ninety-three billion, two hundred seventy-four million, seven hundred seventy-five thousand, forty".