97743697920 has 576 divisors, whose sum is σ = 383353326720. Its totient is φ = 23688806400.

The previous prime is 97743697867. The next prime is 97743697927. The reversal of 97743697920 is 2979634779.

97743697920 is a `hidden beast` number, since 97 + 7 + 436 + 97 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97743697927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27369735 + ... + 27373305.

It is an arithmetic number, because the mean of its divisors is an integer number (665543970).

Almost surely, 2^97743697920 is an apocalyptic number.

97743697920 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 97743697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191676663360).

97743697920 is an abundant number, since it is smaller than the sum of its proper divisors (285609628800).

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

97743697920 is a wasteful number, since it uses less digits than its factorization.

97743697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 97743697920 in words is "ninety-seven billion, seven hundred forty-three million, six hundred ninety-seven thousand, nine hundred twenty".