97753227264 has 672 divisors, whose sum is σ = 358704343296. Its totient is φ = 24914165760.

The previous prime is 97753227251. The next prime is 97753227283. The reversal of 97753227264 is 46272235779.

It is a happy number.

97753227264 is a `hidden beast` number, since 97 + 75 + 3 + 227 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 97753227264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380362624 + ... + 380362880.

Almost surely, 2^97753227264 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 97753227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179352171648).

97753227264 is an abundant number, since it is smaller than the sum of its proper divisors (260951116032).

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

97753227264 is a wasteful number, since it uses less digits than its factorization.

97753227264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 347 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 97753227264 in words is "ninety-seven billion, seven hundred fifty-three million, two hundred twenty-seven thousand, two hundred sixty-four".