9974016000 has 960 divisors, whose sum is σ = 41122121040. Its totient is φ = 2388787200.

The previous prime is 9974015899. The next prime is 9974016011. The reversal of 9974016000 is 6104799.

9974016000 is a `hidden beast` number, since 9 + 9 + 7 + 40 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 442008576 + 9532007424 = 21024^2 + 97632^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 269567982 + ... + 269568018.

Almost surely, 2^9974016000 is an apocalyptic number.

9974016000 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 9974016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561060520).

9974016000 is an abundant number, since it is smaller than the sum of its proper divisors (31148105040).

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

9974016000 is a wasteful number, since it uses less digits than its factorization.

9974016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9974016000 is about 99869.9954941423. The cubic root of 9974016000 is about 2152.5670437664.

The spelling of 9974016000 in words is "nine billion, nine hundred seventy-four million, sixteen thousand".