9963914400 has 324 divisors, whose sum is σ = 38623117806. Its totient is φ = 2415283200.

The previous prime is 9963914369. The next prime is 9963914417. The reversal of 9963914400 is 44193699.

9963914400 is a `hidden beast` number, since 9 + 9 + 639 + 1 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6419855376 + 3544059024 = 80124^2 + 59532^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 865482 + ... + 876918.

Almost surely, 2^9963914400 is an apocalyptic number.

9963914400 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 9963914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311558903).

9963914400 is an abundant number, since it is smaller than the sum of its proper divisors (28659203406).

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

9963914400 is a wasteful number, since it uses less digits than its factorization.

9963914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485 (or 11458 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9963914400 is about 99819.4089343350. The cubic root of 9963914400 is about 2151.8400976623.

The spelling of 9963914400 in words is "nine billion, nine hundred sixty-three million, nine hundred fourteen thousand, four hundred".