97912743600 has 240 divisors, whose sum is σ = 370017904640. Its totient is φ = 21658060800.

The previous prime is 97912743581. The next prime is 97912743623. The reversal of 97912743600 is 634721979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97912743600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72396 + ... + 448404.

Almost surely, 2^97912743600 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 97912743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185008952320).

97912743600 is an abundant number, since it is smaller than the sum of its proper divisors (272105161040).

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

97912743600 is a wasteful number, since it uses less digits than its factorization.

97912743600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376068 (or 376057 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 97912743600 in words is "ninety-seven billion, nine hundred twelve million, seven hundred forty-three thousand, six hundred".