63420825600 has 1224 divisors, whose sum is σ = 273827241792. Its totient is φ = 13841203200.

The previous prime is 63420825599. The next prime is 63420825631. The reversal of 63420825600 is 652802436.

63420825600 is a `hidden beast` number, since 6 + 3 + 4 + 20 + 8 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is a super-2 number, since 2×63420825600² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2757427189 + ... + 2757427211.

Almost surely, 2^63420825600 is an apocalyptic number.

63420825600 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 63420825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136913620896).

63420825600 is an abundant number, since it is smaller than the sum of its proper divisors (210406416192).

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

63420825600 is a wasteful number, since it uses less digits than its factorization.

63420825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 63420825600 in words is "sixty-three billion, four hundred twenty million, eight hundred twenty-five thousand, six hundred".