9774502016400 has 675 divisors, whose sum is σ = 38583337333233. Its totient is φ = 2368075564800.

The previous prime is 9774502016369. The next prime is 9774502016407. The reversal of 9774502016400 is 46102054779.

The square root of 9774502016400 is 3126420.

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

9774502016400 is a `hidden beast` number, since 97 + 7 + 4 + 502 + 0 + 16 + 40 + 0 = 666.

9774502016400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3518820725904 + 6255681290496 = 1875852^2 + 2501136^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is not an unprimeable number, because it can be changed into a prime (9774502016407) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6190310811 + ... + 6190312389.

Almost surely, 2^{9774502016400} is an apocalyptic number.

9774502016400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9774502016400 is the 3126420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9774502016400

9774502016400 is an abundant number, since it is smaller than the sum of its proper divisors (28808835316833).

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

9774502016400 is a wasteful number, since it uses less digits than its factorization.

9774502016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 9774502016400 in words is "nine trillion, seven hundred seventy-four billion, five hundred two million, sixteen thousand, four hundred".