75242434982400 has 1800 divisors, whose sum is σ = 343002981661956. Its totient is φ = 16186422067200.

The previous prime is 75242434982381. The next prime is 75242434982401. The reversal of 75242434982400 is 428943424257.

75242434982400 is a `hidden beast` number, since 7 + 52 + 4 + 2 + 4 + 349 + 8 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 51842073620736 + 23400361361664 = 7200144^2 + 4837392^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×75242434982400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75242434982401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 863610840 + ... + 863697960.

Almost surely, 2^{75242434982400} is an apocalyptic number.

75242434982400 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 75242434982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171501490830978).

75242434982400 is an abundant number, since it is smaller than the sum of its proper divisors (267760546679556).

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

75242434982400 is a wasteful number, since it uses less digits than its factorization.

75242434982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87192 (or 87155 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 75242434982400 in words is "seventy-five trillion, two hundred forty-two billion, four hundred thirty-four million, nine hundred eighty-two thousand, four hundred".