9974016900 has 81 divisors (see below), whose sum is σ = 31272395791. Its totient is φ = 2658938880.

The previous prime is 9974016827. The next prime is 9974016901. The reversal of 9974016900 is 96104799.

The square root of 9974016900 is 99870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 623900484 + 9350116416 = 24978^2 + 96696^2 .

It is a super-2 number, since 2×9974016900² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9974016901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2994436 + ... + 2997764.

Almost surely, 2^9974016900 is an apocalyptic number.

9974016900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9974016900 is the 99870-th square number.

It is an amenable number.

9974016900 is an abundant number, since it is smaller than the sum of its proper divisors (21298378891).

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

9974016900 is a wasteful number, since it uses less digits than its factorization.

9974016900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The cubic root of 9974016900 is about 2152.5671085116.

The spelling of 9974016900 in words is "nine billion, nine hundred seventy-four million, sixteen thousand, nine hundred".