97548632064 has 216 divisors, whose sum is σ = 303531185412. Its totient is φ = 30010245120.

The previous prime is 97548632053. The next prime is 97548632087. The reversal of 97548632064 is 46023684579.

97548632064 is a `hidden beast` number, since 9 + 7 + 548 + 6 + 32 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87426662400 + 10121969664 = 295680^2 + 100608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97548632064.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15332244 + ... + 15338604.

Almost surely, 2^97548632064 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 97548632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151765592706).

97548632064 is an abundant number, since it is smaller than the sum of its proper divisors (205982553348).

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

97548632064 is an equidigital number, since it uses as much as digits as its factorization.

97548632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 97548632064 in words is "ninety-seven billion, five hundred forty-eight million, six hundred thirty-two thousand, sixty-four".