97609527648 has 144 divisors (see below), whose sum is σ = 279992565216. Its totient is φ = 32254064640.

The previous prime is 97609527581. The next prime is 97609527703. The reversal of 97609527648 is 84672590679.

97609527648 is a `hidden beast` number, since 9 + 7 + 60 + 9 + 527 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40283365 + ... + 40285787.

It is an arithmetic number, because the mean of its divisors is an integer number (1944392814).

Almost surely, 2^97609527648 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 97609527648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139996282608).

97609527648 is an abundant number, since it is smaller than the sum of its proper divisors (182383037568).

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

97609527648 is a wasteful number, since it uses less digits than its factorization.

97609527648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 97609527648 in words is "ninety-seven billion, six hundred nine million, five hundred twenty-seven thousand, six hundred forty-eight".