8963006400 has 252 divisors, whose sum is σ = 33037949672. Its totient is φ = 2390031360.

The previous prime is 8963006389. The next prime is 8963006411. The reversal of 8963006400 is 46003698.

8963006400 is a `hidden beast` number, since 8 + 9 + 6 + 3 + 0 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8963006389) and next prime (8963006411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377274 + ... + 400326.

Almost surely, 2^8963006400 is an apocalyptic number.

8963006400 is a gapful number since it is divisible by the number (80) 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 8963006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518974836).

8963006400 is an abundant number, since it is smaller than the sum of its proper divisors (24074943272).

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

8963006400 is a wasteful number, since it uses less digits than its factorization.

8963006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23090 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8963006400 is about 94673.1556461492. The cubic root of 8963006400 is about 2077.2299170590.

The spelling of 8963006400 in words is "eight billion, nine hundred sixty-three million, six thousand, four hundred".