63982947600 has 960 divisors, whose sum is σ = 283399361280. Its totient is φ = 13470105600.

The previous prime is 63982947593. The next prime is 63982947671. The reversal of 63982947600 is 674928936.

It is a happy number.

63982947600 is a `hidden beast` number, since 6 + 3 + 9 + 8 + 29 + 4 + 7 + 600 = 666.

63982947600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26253582 + ... + 26256018.

It is an arithmetic number, because the mean of its divisors is an integer number (295207668).

Almost surely, 2^63982947600 is an apocalyptic number.

63982947600 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 63982947600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141699680640).

63982947600 is an abundant number, since it is smaller than the sum of its proper divisors (219416413680).

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

63982947600 is a wasteful number, since it uses less digits than its factorization.

63982947600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 63982947600 in words is "sixty-three billion, nine hundred eighty-two million, nine hundred forty-seven thousand, six hundred".