997753014720 has 1792 divisors, whose sum is σ = 4584348057600. Its totient is φ = 198236160000.

The previous prime is 997753014679. The next prime is 997753014733. The reversal of 997753014720 is 27410357799.

997753014720 is a `hidden beast` number, since 9 + 9 + 77 + 530 + 14 + 7 + 20 = 666.

It is a super-2 number, since 2×997753014720² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2082991441 + ... + 2082991919.

Almost surely, 2^997753014720 is an apocalyptic number.

997753014720 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 997753014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292174028800).

997753014720 is an abundant number, since it is smaller than the sum of its proper divisors (3586595042880).

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

997753014720 is a wasteful number, since it uses less digits than its factorization.

997753014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 997753014720 in words is "nine hundred ninety-seven billion, seven hundred fifty-three million, fourteen thousand, seven hundred twenty".