97083377664 has 864 divisors, whose sum is σ = 347187072960. Its totient is φ = 23601217536.

The previous prime is 97083377663. The next prime is 97083377669. The reversal of 97083377664 is 46677338079.

It is a junction number, because it is equal to n+sod(n) for n = 97083377598 and 97083377607.

It is not an unprimeable number, because it can be changed into a prime (97083377663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2623875054 + ... + 2623875090.

It is an arithmetic number, because the mean of its divisors is an integer number (401836890).

Almost surely, 2^97083377664 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 97083377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173593536480).

97083377664 is an abundant number, since it is smaller than the sum of its proper divisors (250103695296).

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

97083377664 is a wasteful number, since it uses less digits than its factorization.

97083377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 60.

The spelling of 97083377664 in words is "ninety-seven billion, eighty-three million, three hundred seventy-seven thousand, six hundred sixty-four".