63282954240 has 1080 divisors, whose sum is σ = 263638563552. Its totient is φ = 14438891520.

The previous prime is 63282954221. The next prime is 63282954281. The reversal of 63282954240 is 4245928236.

63282954240 is a `hidden beast` number, since 63 + 2 + 8 + 2 + 9 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3722526712 + ... + 3722526728.

Almost surely, 2^63282954240 is an apocalyptic number.

63282954240 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 63282954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131819281776).

63282954240 is an abundant number, since it is smaller than the sum of its proper divisors (200355609312).

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

63282954240 is an equidigital number, since it uses as much as digits as its factorization.

63282954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 63282954240 in words is "sixty-three billion, two hundred eighty-two million, nine hundred fifty-four thousand, two hundred forty".