997473880800 has 864 divisors, whose sum is σ = 3835950483456. Its totient is φ = 243150336000.

The previous prime is 997473880783. The next prime is 997473880807. The reversal of 997473880800 is 8088374799.

997473880800 is a `hidden beast` number, since 9 + 9 + 7 + 473 + 8 + 80 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997473880807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 426087630 + ... + 426089970.

It is an arithmetic number, because the mean of its divisors is an integer number (4439757504).

Almost surely, 2^997473880800 is an apocalyptic number.

997473880800 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 997473880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917975241728).

997473880800 is an abundant number, since it is smaller than the sum of its proper divisors (2838476602656).

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

997473880800 is a wasteful number, since it uses less digits than its factorization.

997473880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 997473880800 in words is "nine hundred ninety-seven billion, four hundred seventy-three million, eight hundred eighty thousand, eight hundred".