6323990400 has 1152 divisors, whose sum is σ = 29464780800. Its totient is φ = 1254113280.

The previous prime is 6323990363. The next prime is 6323990401. The reversal of 6323990400 is 40993236.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6323990401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49795137 + ... + 49795263.

Almost surely, 2^6323990400 is an apocalyptic number.

6323990400 is a gapful number since it is divisible by the number (60) 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 6323990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732390400).

6323990400 is an abundant number, since it is smaller than the sum of its proper divisors (23140790400).

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

6323990400 is a wasteful number, since it uses less digits than its factorization.

6323990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 6323990400 is about 79523.5210488067. The cubic root of 6323990400 is about 1849.2561314217.

The spelling of 6323990400 in words is "six billion, three hundred twenty-three million, nine hundred ninety thousand, four hundred".