63412761600 has 660 divisors, whose sum is σ = 239655005964. Its totient is φ = 16562257920.

The previous prime is 63412761589. The next prime is 63412761617. The reversal of 63412761600 is 616721436.

It is a happy number.

63412761600 is a `hidden beast` number, since 6 + 3 + 41 + 2 + 7 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6410244096 + 57002517504 = 80064^2 + 238752^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 109900512 + ... + 109901088.

Almost surely, 2^63412761600 is an apocalyptic number.

63412761600 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 63412761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119827502982).

63412761600 is an abundant number, since it is smaller than the sum of its proper divisors (176242244364).

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

63412761600 is a wasteful number, since it uses less digits than its factorization.

63412761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 63412761600 in words is "sixty-three billion, four hundred twelve million, seven hundred sixty-one thousand, six hundred".