993742706880 has 1232 divisors, whose sum is σ = 4431835793664. Its totient is φ = 206189660160.

The previous prime is 993742706837. The next prime is 993742706917. The reversal of 993742706880 is 88607247399.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 1454967019 + ... + 1454967701.

Almost surely, 2^993742706880 is an apocalyptic number.

993742706880 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 993742706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215917896832).

993742706880 is an abundant number, since it is smaller than the sum of its proper divisors (3438093086784).

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

993742706880 is an equidigital number, since it uses as much as digits as its factorization.

993742706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 993742706880 in words is "nine hundred ninety-three billion, seven hundred forty-two million, seven hundred six thousand, eight hundred eighty".