993477853440 has 432 divisors, whose sum is σ = 3593395757952. Its totient is φ = 252941500416.

The previous prime is 993477853439. The next prime is 993477853453. The reversal of 993477853440 is 44358774399.

993477853440 is a `hidden beast` number, since 9 + 93 + 4 + 7 + 7 + 8 + 534 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157118119 + ... + 157124441.

It is an arithmetic number, because the mean of its divisors is an integer number (8318045736).

Almost surely, 2^993477853440 is an apocalyptic number.

993477853440 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 993477853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796697878976).

993477853440 is an abundant number, since it is smaller than the sum of its proper divisors (2599917904512).

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

993477853440 is a wasteful number, since it uses less digits than its factorization.

993477853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 993477853440 in words is "nine hundred ninety-three billion, four hundred seventy-seven million, eight hundred fifty-three thousand, four hundred forty".