63782235972 has 480 divisors, whose sum is σ = 221367041280. Its totient is φ = 15542046720.

The previous prime is 63782235917. The next prime is 63782235989. The reversal of 63782235972 is 27953228736.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 22966648 + ... + 22969424.

It is an arithmetic number, because the mean of its divisors is an integer number (461181336).

Almost surely, 2^63782235972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63782235972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110683520640).

63782235972 is an abundant number, since it is smaller than the sum of its proper divisors (157584805308).

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

63782235972 is a wasteful number, since it uses less digits than its factorization.

63782235972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2862 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 63782235972 in words is "sixty-three billion, seven hundred eighty-two million, two hundred thirty-five thousand, nine hundred seventy-two".