9963374400 has 504 divisors, whose sum is σ = 40928422080. Its totient is φ = 2251653120.

The previous prime is 9963374389. The next prime is 9963374411. The reversal of 9963374400 is 44733699.

9963374400 is a `hidden beast` number, since 9 + 9 + 633 + 7 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9963374389) and next prime (9963374411).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9777091 + ... + 9778109.

Almost surely, 2^9963374400 is an apocalyptic number.

9963374400 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 9963374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464211040).

9963374400 is an abundant number, since it is smaller than the sum of its proper divisors (30965047680).

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

9963374400 is a wasteful number, since it uses less digits than its factorization.

9963374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 9963374400 is about 99816.7040129056. The cubic root of 9963374400 is about 2151.8012235612.

The spelling of 9963374400 in words is "nine billion, nine hundred sixty-three million, three hundred seventy-four thousand, four hundred".