9774877190400 has 729 divisors, whose sum is σ = 40674945252123. Its totient is φ = 2233057075200.

The previous prime is 9774877190371. The next prime is 9774877190411. The reversal of 9774877190400 is 40917784779.

The square root of 9774877190400 is 3126480.

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

9774877190400 is a `hidden beast` number, since 9 + 7 + 74 + 8 + 7 + 71 + 90 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5945560475904 + 3829316714496 = 2438352^2 + 1956864^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5252485470 + ... + 5252487330.

Almost surely, 2^{9774877190400} is an apocalyptic number.

9774877190400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9774877190400 is the 3126480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9774877190400

9774877190400 is an abundant number, since it is smaller than the sum of its proper divisors (30900068061723).

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

9774877190400 is an equidigital number, since it uses as much as digits as its factorization.

9774877190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 9774877190400 in words is "nine trillion, seven hundred seventy-four billion, eight hundred seventy-seven million, one hundred ninety thousand, four hundred".