97973777664 has 576 divisors, whose sum is σ = 352638074880. Its totient is φ = 26192609280.

The previous prime is 97973777593. The next prime is 97973777701. The reversal of 97973777664 is 46677737979.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×97973777664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 97973777592 and 97973777601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255806017 + ... + 255806399.

It is an arithmetic number, because the mean of its divisors is an integer number (612218880).

Almost surely, 2^97973777664 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 97973777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176319037440).

97973777664 is an abundant number, since it is smaller than the sum of its proper divisors (254664297216).

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

97973777664 is a wasteful number, since it uses less digits than its factorization.

97973777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 723 counting only the distinct ones).

The product of its digits is 588110544, while the sum is 72.

The spelling of 97973777664 in words is "ninety-seven billion, nine hundred seventy-three million, seven hundred seventy-seven thousand, six hundred sixty-four".