63075412800000 has 1680 divisors, whose sum is σ = 250150119695784. Its totient is φ = 15825715200000.

The previous prime is 63075412799969. The next prime is 63075412800053. The reversal of 63075412800000 is 821457036.

63075412800000 is a `hidden beast` number, since 6 + 30 + 7 + 541 + 2 + 80 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 35855569154304 + 27219843645696 = 5987952^2 + 5217264^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19828798410 + ... + 19828801590.

Almost surely, 2^{63075412800000} is an apocalyptic number.

63075412800000 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 63075412800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125075059847892).

63075412800000 is an abundant number, since it is smaller than the sum of its proper divisors (187074706895784).

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

63075412800000 is an frugal number, since it uses more digits than its factorization.

63075412800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 63075412800000 in words is "sixty-three trillion, seventy-five billion, four hundred twelve million, eight hundred thousand".