63321834240 has 864 divisors, whose sum is σ = 262845972480. Its totient is φ = 14296891392.

The previous prime is 63321834229. The next prime is 63321834259. The reversal of 63321834240 is 4243812336.

63321834240 is a `hidden beast` number, since 6 + 332 + 1 + 83 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 63321834195 and 63321834204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276514446 + ... + 276514674.

Almost surely, 2^63321834240 is an apocalyptic number.

63321834240 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 63321834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131422986240).

63321834240 is an abundant number, since it is smaller than the sum of its proper divisors (199524138240).

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

63321834240 is a wasteful number, since it uses less digits than its factorization.

63321834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 63321834240 in words is "sixty-three billion, three hundred twenty-one million, eight hundred thirty-four thousand, two hundred forty".