97413636960 has 384 divisors, whose sum is σ = 361106242560. Its totient is φ = 24475004928.

The previous prime is 97413636917. The next prime is 97413636967. The reversal of 97413636960 is 6963631479.

97413636960 is a `hidden beast` number, since 97 + 4 + 136 + 369 + 60 = 666.

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 = 97413636897 and 97413636906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97413636967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6649804 + ... + 6664436.

It is an arithmetic number, because the mean of its divisors is an integer number (940380840).

Almost surely, 2^97413636960 is an apocalyptic number.

97413636960 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 97413636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180553121280).

97413636960 is an abundant number, since it is smaller than the sum of its proper divisors (263692605600).

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

97413636960 is a wasteful number, since it uses less digits than its factorization.

97413636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14747 (or 14733 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 97413636960 in words is "ninety-seven billion, four hundred thirteen million, six hundred thirty-six thousand, nine hundred sixty".