97970064192 has 1344 divisors, whose sum is σ = 411653939200. Its totient is φ = 22170931200.

The previous prime is 97970064191. The next prime is 97970064193. The reversal of 97970064192 is 29146007979.

It is an interprime number because it is at equal distance from previous prime (97970064191) and next prime (97970064193).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×97970064192² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97970064191) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 361513017 + ... + 361513287.

Almost surely, 2^97970064192 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 97970064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205826969600).

97970064192 is an abundant number, since it is smaller than the sum of its proper divisors (313683875008).

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

97970064192 is a wasteful number, since it uses less digits than its factorization.

97970064192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 97970064192 in words is "ninety-seven billion, nine hundred seventy million, sixty-four thousand, one hundred ninety-two".