63000641894400 has 5040 divisors, whose sum is σ = 295367333952600. Its totient is φ = 13273534955520.

The previous prime is 63000641894389. The next prime is 63000641894423. The reversal of 63000641894400 is 449814600036.

63000641894400 is a `hidden beast` number, since 6 + 3 + 0 + 0 + 0 + 64 + 189 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 419 ways as a sum of consecutive naturals, for example, 1702720051182 + ... + 1702720051218.

Almost surely, 2^{63000641894400} is an apocalyptic number.

63000641894400 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 63000641894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147683666976300).

63000641894400 is an abundant number, since it is smaller than the sum of its proper divisors (232366692058200).

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

63000641894400 is an frugal number, since it uses more digits than its factorization.

63000641894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 63000641894400 in words is "sixty-three trillion, six hundred forty-one million, eight hundred ninety-four thousand, four hundred".