93404742200 has 576 divisors, whose sum is σ = 297332398080. Its totient is φ = 26477568000.

The previous prime is 93404742199. The next prime is 93404742209. The reversal of 93404742200 is 224740439.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93404742209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137968262 + ... + 137968938.

It is an arithmetic number, because the mean of its divisors is an integer number (516202080).

Almost surely, 2^93404742200 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 93404742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148666199040).

93404742200 is an abundant number, since it is smaller than the sum of its proper divisors (203927655880).

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

93404742200 is a wasteful number, since it uses less digits than its factorization.

93404742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 93404742200 in words is "ninety-three billion, four hundred four million, seven hundred forty-two thousand, two hundred".