63473763600 has 1215 divisors, whose sum is σ = 267412177773. Its totient is φ = 13931274240.

The previous prime is 63473763571. The next prime is 63473763629. The reversal of 63473763600 is 636737436.

The square root of 63473763600 is 251940.

It is a perfect power (a square), and thus also a powerful number.

63473763600 is a `hidden beast` number, since 6 + 3 + 4 + 7 + 3 + 7 + 636 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63473763571) and next prime (63473763629).

It can be written as a sum of positive squares in 13 ways, for example, as 46226720016 + 17247043584 = 215004^2 + 131328^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3340724391 + ... + 3340724409.

Almost surely, 2^63473763600 is an apocalyptic number.

63473763600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63473763600 is the 251940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63473763600

63473763600 is an abundant number, since it is smaller than the sum of its proper divisors (203938414173).

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

63473763600 is a wasteful number, since it uses less digits than its factorization.

63473763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 63473763600 in words is "sixty-three billion, four hundred seventy-three million, seven hundred sixty-three thousand, six hundred".