973275264 has 384 divisors, whose sum is σ = 3274689600. Its totient is φ = 285659136.

The previous prime is 973275257. The next prime is 973275307. The reversal of 973275264 is 462572379.

973275264 is a `hidden beast` number, since 97 + 32 + 7 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11726167 + ... + 11726249.

Almost surely, 2^973275264 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 973275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637344800).

973275264 is an abundant number, since it is smaller than the sum of its proper divisors (2301414336).

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

973275264 is a wasteful number, since it uses less digits than its factorization.

973275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 973275264 is about 31197.3598882982. The cubic root of 973275264 is about 991.0111982030.

The spelling of 973275264 in words is "nine hundred seventy-three million, two hundred seventy-five thousand, two hundred sixty-four".