63672480000 has 900 divisors, whose sum is σ = 252073857420. Its totient is φ = 15980544000.

The previous prime is 63672479987. The next prime is 63672480019. The reversal of 63672480000 is 8427636.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 46159663104 + 17512816896 = 214848^2 + 132336^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5100 × 3060 × 4080.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3745439992 + ... + 3745440008.

Almost surely, 2^63672480000 is an apocalyptic number.

63672480000 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 63672480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126036928710).

63672480000 is an abundant number, since it is smaller than the sum of its proper divisors (188401377420).

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

63672480000 is an frugal number, since it uses more digits than its factorization.

63672480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 63672480000 in words is "sixty-three billion, six hundred seventy-two million, four hundred eighty thousand".