997006536000 has 448 divisors, whose sum is σ = 3671718336000. Its totient is φ = 264864614400.

The previous prime is 997006535977. The next prime is 997006536017. The reversal of 997006536000 is 635600799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 58095421 + ... + 58112579.

Almost surely, 2^997006536000 is an apocalyptic number.

997006536000 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 997006536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835859168000).

997006536000 is an abundant number, since it is smaller than the sum of its proper divisors (2674711800000).

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

997006536000 is a wasteful number, since it uses less digits than its factorization.

997006536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17464 (or 17438 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 997006536000 in words is "nine hundred ninety-seven billion, six million, five hundred thirty-six thousand".