97661467378176 has 320 divisors, whose sum is σ = 290117637532800. Its totient is φ = 28986849755136.

The previous prime is 97661467378171. The next prime is 97661467378193. The reversal of 97661467378176 is 67187376416679.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (97661467378171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635165115 + ... + 635318853.

It is an arithmetic number, because the mean of its divisors is an integer number (906617617290).

Almost surely, 2^{97661467378176} is an apocalyptic number.

97661467378176 is a gapful number since it is divisible by the number (96) 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 97661467378176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145058818766400).

97661467378176 is an abundant number, since it is smaller than the sum of its proper divisors (192456170154624).

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

97661467378176 is a wasteful number, since it uses less digits than its factorization.

97661467378176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154899 (or 154883 counting only the distinct ones).

The product of its digits is 2688505344, while the sum is 78.

The spelling of 97661467378176 in words is "ninety-seven trillion, six hundred sixty-one billion, four hundred sixty-seven million, three hundred seventy-eight thousand, one hundred seventy-six".