973638066960 has 480 divisors, whose sum is σ = 3580097609088. Its totient is φ = 235691458560.

The previous prime is 973638066959. The next prime is 973638067019. The reversal of 973638066960 is 69660836379.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176349000 + ... + 176354520.

Almost surely, 2^973638066960 is an apocalyptic number.

973638066960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973638066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790048804544).

973638066960 is an abundant number, since it is smaller than the sum of its proper divisors (2606459542128).

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

973638066960 is a wasteful number, since it uses less digits than its factorization.

973638066960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 973638066960 in words is "nine hundred seventy-three billion, six hundred thirty-eight million, sixty-six thousand, nine hundred sixty".