963003470400 has 336 divisors, whose sum is σ = 3576748752000. Its totient is φ = 251955025920.

The previous prime is 963003470389. The next prime is 963003470483. The reversal of 963003470400 is 4074300369.

963003470400 is a `hidden beast` number, since 9 + 6 + 300 + 347 + 0 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079301 + ... + 2499899.

Almost surely, 2^963003470400 is an apocalyptic number.

963003470400 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 963003470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788374376000).

963003470400 is an abundant number, since it is smaller than the sum of its proper divisors (2613745281600).

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

963003470400 is a wasteful number, since it uses less digits than its factorization.

963003470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420683 (or 420662 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 963003470400 its reverse (4074300369), we get a palindrome (967077770769).

The spelling of 963003470400 in words is "nine hundred sixty-three billion, three million, four hundred seventy thousand, four hundred".