97734913920 has 960 divisors, whose sum is σ = 406473949440. Its totient is φ = 21621841920.

The previous prime is 97734913907. The next prime is 97734913943. The reversal of 97734913920 is 2931943779.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×97734913920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 511701025 + ... + 511701215.

It is an arithmetic number, because the mean of its divisors is an integer number (423410364).

Almost surely, 2^97734913920 is an apocalyptic number.

97734913920 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 97734913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203236974720).

97734913920 is an abundant number, since it is smaller than the sum of its proper divisors (308739035520).

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

97734913920 is a wasteful number, since it uses less digits than its factorization.

97734913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 97734913920 in words is "ninety-seven billion, seven hundred thirty-four million, nine hundred thirteen thousand, nine hundred twenty".