993646076040 has 256 divisors, whose sum is σ = 3394250956800. Its totient is φ = 258422959872.

The previous prime is 993646076029. The next prime is 993646076051. The reversal of 993646076040 is 40670646399.

993646076040 is a `hidden beast` number, since 99 + 36 + 460 + 7 + 60 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (993646076029) and next prime (993646076051).

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 63 ways as a sum of consecutive naturals, for example, 31702857 + ... + 31734183.

It is an arithmetic number, because the mean of its divisors is an integer number (13258792800).

Almost surely, 2^993646076040 is an apocalyptic number.

993646076040 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 993646076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697125478400).

993646076040 is an abundant number, since it is smaller than the sum of its proper divisors (2400604880760).

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

993646076040 is a wasteful number, since it uses less digits than its factorization.

993646076040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32073 (or 32063 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 993646076040 in words is "nine hundred ninety-three billion, six hundred forty-six million, seventy-six thousand, forty".