93696445440 has 616 divisors, whose sum is σ = 363098464848. Its totient is φ = 23051796480.

The previous prime is 93696445393. The next prime is 93696445457. The reversal of 93696445440 is 4454469639.

93696445440 is a `hidden beast` number, since 9 + 3 + 6 + 96 + 4 + 4 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48521275 + ... + 48523205.

Almost surely, 2^93696445440 is an apocalyptic number.

93696445440 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 93696445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181549232424).

93696445440 is an abundant number, since it is smaller than the sum of its proper divisors (269402019408).

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

93696445440 is a wasteful number, since it uses less digits than its factorization.

93696445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 93696445440 in words is "ninety-three billion, six hundred ninety-six million, four hundred forty-five thousand, four hundred forty".