976145397768 has 36 divisors (see below), whose sum is σ = 2643749824365. Its totient is φ = 325379004768.

The previous prime is 976145397767. The next prime is 976145397833. The reversal of 976145397768 is 867793541679.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

976145397768 is a `hidden beast` number, since 9 + 7 + 6 + 14 + 539 + 7 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 959384988324 + 16760409444 = 979482^2 + 129462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=698622.

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

It is a junction number, because it is equal to n+sod(n) for n = 976145397696 and 976145397705.

It is not an unprimeable number, because it can be changed into a prime (976145397767) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 8325246 + ... + 8441682.

Almost surely, 2^976145397768 is an apocalyptic number.

It is an amenable number.

976145397768 is an abundant number, since it is smaller than the sum of its proper divisors (1667604426597).

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

976145397768 is an frugal number, since it uses more digits than its factorization.

976145397768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232886 (or 116442 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

Multiplying 976145397768 by its sum of digits (72), we get a square (70282468639296 = 8383464²).

976145397768 divided by its sum of digits (72) gives a square (13557574969 = 116437²).

The spelling of 976145397768 in words is "nine hundred seventy-six billion, one hundred forty-five million, three hundred ninety-seven thousand, seven hundred sixty-eight".