6223513190400 has 2448 divisors, whose sum is σ = 26880707569248. Its totient is φ = 1358954496000.

The previous prime is 6223513190311. The next prime is 6223513190407. The reversal of 6223513190400 is 40913153226.

6223513190400 is a `hidden beast` number, since 6 + 2 + 2 + 35 + 131 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2448).

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 (6223513190407) 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, 102024806370 + ... + 102024806430.

Almost surely, 2^{6223513190400} is an apocalyptic number.

6223513190400 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 6223513190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440353784624).

6223513190400 is an abundant number, since it is smaller than the sum of its proper divisors (20657194378848).

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

6223513190400 is a wasteful number, since it uses less digits than its factorization.

6223513190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 6223513190400 in words is "six trillion, two hundred twenty-three billion, five hundred thirteen million, one hundred ninety thousand, four hundred".