75946368049920 has 324 divisors, whose sum is σ = 271516331687328. Its totient is φ = 19599059865600.

The previous prime is 75946368049861. The next prime is 75946368049927. The reversal of 75946368049920 is 2994086364957.

75946368049920 is a `hidden beast` number, since 7 + 5 + 9 + 4 + 6 + 36 + 80 + 499 + 20 = 666.

It is a super-2 number, since 2×75946368049920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (75946368049927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7640665 + ... + 14500775.

Almost surely, 2^{75946368049920} 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 75946368049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135758165843664).

75946368049920 is an abundant number, since it is smaller than the sum of its proper divisors (195569963637408).

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

75946368049920 is a wasteful number, since it uses less digits than its factorization.

75946368049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860200 (or 6860152 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 75946368049920 in words is "seventy-five trillion, nine hundred forty-six billion, three hundred sixty-eight million, forty-nine thousand, nine hundred twenty".