93484304640 has 216 divisors, whose sum is σ = 340470224640. Its totient is φ = 23617032192.

The previous prime is 93484304591. The next prime is 93484304663. The reversal of 93484304640 is 4640348439.

It is a happy number.

93484304640 is a `hidden beast` number, since 93 + 484 + 3 + 0 + 46 + 40 = 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 23 ways as a sum of consecutive naturals, for example, 5329 + ... + 432431.

It is an arithmetic number, because the mean of its divisors is an integer number (1576251040).

Almost surely, 2^93484304640 is an apocalyptic number.

93484304640 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 93484304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170235112320).

93484304640 is an abundant number, since it is smaller than the sum of its proper divisors (246985920000).

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

93484304640 is a wasteful number, since it uses less digits than its factorization.

93484304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427149 (or 427132 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 93484304640 in words is "ninety-three billion, four hundred eighty-four million, three hundred four thousand, six hundred forty".