97484745600 has 1152 divisors, whose sum is σ = 419794202880. Its totient is φ = 21248409600.

The previous prime is 97484745593. The next prime is 97484745607. The reversal of 97484745600 is 654748479.

97484745600 is a `hidden beast` number, since 9 + 7 + 4 + 8 + 4 + 74 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97484745593) and next prime (97484745607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97484745607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123868407 + ... + 123869193.

It is an arithmetic number, because the mean of its divisors is an integer number (364404690).

Almost surely, 2^97484745600 is an apocalyptic number.

97484745600 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 97484745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209897101440).

97484745600 is an abundant number, since it is smaller than the sum of its proper divisors (322309457280).

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

97484745600 is a wasteful number, since it uses less digits than its factorization.

97484745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 97484745600 in words is "ninety-seven billion, four hundred eighty-four million, seven hundred forty-five thousand, six hundred".