6450472393200 has 540 divisors, whose sum is σ = 24703370461224. Its totient is φ = 1557494400000.

The previous prime is 6450472393153. The next prime is 6450472393207. The reversal of 6450472393200 is 23932740546.

6450472393200 is a `hidden beast` number, since 6 + 4 + 50 + 4 + 7 + 2 + 393 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6450472393207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 109306102 + ... + 109365098.

Almost surely, 2^{6450472393200} is an apocalyptic number.

6450472393200 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 6450472393200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351685230612).

6450472393200 is an abundant number, since it is smaller than the sum of its proper divisors (18252898068024).

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

6450472393200 is a wasteful number, since it uses less digits than its factorization.

6450472393200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59294 (or 59269 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 6450472393200 in words is "six trillion, four hundred fifty billion, four hundred seventy-two million, three hundred ninety-three thousand, two hundred".