93669085440 has 648 divisors, whose sum is σ = 380186649024. Its totient is φ = 20857651200.

The previous prime is 93669085439. The next prime is 93669085441. The reversal of 93669085440 is 4458096639.

93669085440 is a `hidden beast` number, since 9 + 3 + 6 + 6 + 90 + 8 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (93669085439) and next prime (93669085441).

It is not an unprimeable number, because it can be changed into a prime (93669085441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135555495 + ... + 135556185.

Almost surely, 2^93669085440 is an apocalyptic number.

93669085440 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 93669085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190093324512).

93669085440 is an abundant number, since it is smaller than the sum of its proper divisors (286517563584).

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

93669085440 is a wasteful number, since it uses less digits than its factorization.

93669085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 93669085440 in words is "ninety-three billion, six hundred sixty-nine million, eighty-five thousand, four hundred forty".