973074816000 has 2816 divisors, whose sum is σ = 4537069056000. Its totient is φ = 200658124800.

The previous prime is 973074815963. The next prime is 973074816041. The reversal of 973074816000 is 618470379.

973074816000 is a `hidden beast` number, since 9 + 7 + 30 + 7 + 4 + 8 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13329791964 + ... + 13329792036.

Almost surely, 2^973074816000 is an apocalyptic number.

973074816000 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 973074816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268534528000).

973074816000 is an abundant number, since it is smaller than the sum of its proper divisors (3563994240000).

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

973074816000 is a wasteful number, since it uses less digits than its factorization.

973074816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 973074816000 in words is "nine hundred seventy-three billion, seventy-four million, eight hundred sixteen thousand".