93775242240 has 880 divisors, whose sum is σ = 364658671872. Its totient is φ = 22953590784.

The previous prime is 93775242173. The next prime is 93775242343. The reversal of 93775242240 is 4224257739.

93775242240 is a `hidden beast` number, since 9 + 377 + 52 + 4 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 331361139 + ... + 331361421.

Almost surely, 2^93775242240 is an apocalyptic number.

93775242240 is a gapful number since it is divisible by the number (90) 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 93775242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182329335936).

93775242240 is an abundant number, since it is smaller than the sum of its proper divisors (270883429632).

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

93775242240 is a wasteful number, since it uses less digits than its factorization.

93775242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

Adding to 93775242240 its reverse (4224257739), we get a palindrome (97999499979).

It can be divided in two parts, 9 and 3775242240, that added together give a square (3775242249 = 61443²).

The spelling of 93775242240 in words is "ninety-three billion, seven hundred seventy-five million, two hundred forty-two thousand, two hundred forty".