997733797632 has 576 divisors, whose sum is σ = 3473258987520. Its totient is φ = 278525952000.

The previous prime is 997733797591. The next prime is 997733797649. The reversal of 997733797632 is 236797337799.

997733797632 is a `hidden beast` number, since 9 + 97 + 73 + 379 + 76 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×997733797632³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 866840257 + ... + 866841407.

It is an arithmetic number, because the mean of its divisors is an integer number (6029963520).

Almost surely, 2^997733797632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997733797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736629493760).

997733797632 is an abundant number, since it is smaller than the sum of its proper divisors (2475525189888).

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

997733797632 is a wasteful number, since it uses less digits than its factorization.

997733797632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2057 counting only the distinct ones).

The product of its digits is 567106596, while the sum is 72.

The spelling of 997733797632 in words is "nine hundred ninety-seven billion, seven hundred thirty-three million, seven hundred ninety-seven thousand, six hundred thirty-two".