97894061432640 has 2688 divisors, whose sum is σ = 411520028774400. Its totient is φ = 21080073830400.

The previous prime is 97894061432579. The next prime is 97894061432659. The reversal of 97894061432640 is 4623416049879.

It is a happy number.

97894061432640 is a `hidden beast` number, since 9 + 7 + 8 + 9 + 4 + 0 + 614 + 3 + 2 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 280498743186 + ... + 280498743534.

It is an arithmetic number, because the mean of its divisors is an integer number (153095248800).

Almost surely, 2^{97894061432640} is an apocalyptic number.

97894061432640 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 97894061432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205760014387200).

97894061432640 is an abundant number, since it is smaller than the sum of its proper divisors (313625967341760).

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

97894061432640 is a wasteful number, since it uses less digits than its factorization.

97894061432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 97894061432640 in words is "ninety-seven trillion, eight hundred ninety-four billion, sixty-one million, four hundred thirty-two thousand, six hundred forty".