97336546560 has 1152 divisors, whose sum is σ = 398236608000. Its totient is φ = 22574039040.

The previous prime is 97336546543. The next prime is 97336546583. The reversal of 97336546560 is 6564563379.

97336546560 is a `hidden beast` number, since 9 + 7 + 3 + 36 + 5 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97336546497 and 97336546506.

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 127 ways as a sum of consecutive naturals, for example, 892995786 + ... + 892995894.

It is an arithmetic number, because the mean of its divisors is an integer number (345691500).

Almost surely, 2^97336546560 is an apocalyptic number.

97336546560 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 97336546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199118304000).

97336546560 is an abundant number, since it is smaller than the sum of its proper divisors (300900061440).

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

97336546560 is a wasteful number, since it uses less digits than its factorization.

97336546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 97336546560 in words is "ninety-seven billion, three hundred thirty-six million, five hundred forty-six thousand, five hundred sixty".