63802324872 has 768 divisors, whose sum is σ = 222285772800. Its totient is φ = 16257024000.

The previous prime is 63802324867. The next prime is 63802324889. The reversal of 63802324872 is 27842320836.

63802324872 is a `hidden beast` number, since 6 + 380 + 23 + 248 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 564622288 + ... + 564622400.

It is an arithmetic number, because the mean of its divisors is an integer number (289434600).

Almost surely, 2^63802324872 is an apocalyptic number.

63802324872 is a gapful number since it is divisible by the number (62) 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 63802324872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111142886400).

63802324872 is an abundant number, since it is smaller than the sum of its proper divisors (158483447928).

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

63802324872 is a wasteful number, since it uses less digits than its factorization.

63802324872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 63802324872 in words is "sixty-three billion, eight hundred two million, three hundred twenty-four thousand, eight hundred seventy-two".