973027945128960 has 264 divisors, whose sum is σ = 3853161704822976. Its totient is φ = 222406387384320.

The previous prime is 973027945128917. The next prime is 973027945128973. The reversal of 973027945128960 is 69821549720379.

973027945128960 is a `hidden beast` number, since 9 + 7 + 3 + 0 + 27 + 9 + 4 + 512 + 89 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1507967286 + ... + 1508612405.

It is a 1-persistent number, because it is pandigital, but 2⋅973027945128960 = 1946055890257920 is not.

Almost surely, 2^{973027945128960} is an apocalyptic number.

973027945128960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

973027945128960 is an abundant number, since it is smaller than the sum of its proper divisors (2880133759694016).

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

973027945128960 is a wasteful number, since it uses less digits than its factorization.

973027945128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016579729 (or 3016579708 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 973027945128960 in words is "nine hundred seventy-three trillion, twenty-seven billion, nine hundred forty-five million, one hundred twenty-eight thousand, nine hundred sixty".