63825740160 has 256 divisors, whose sum is σ = 250393973760. Its totient is φ = 13466492928.

The previous prime is 63825740159. The next prime is 63825740161. The reversal of 63825740160 is 6104752836.

It is an interprime number because it is at equal distance from previous prime (63825740159) and next prime (63825740161).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63825740161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7932 + ... + 357371.

It is an arithmetic number, because the mean of its divisors is an integer number (978101460).

Almost surely, 2^63825740160 is an apocalyptic number.

63825740160 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 63825740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125196986880).

63825740160 is an abundant number, since it is smaller than the sum of its proper divisors (186568233600).

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

63825740160 is a wasteful number, since it uses less digits than its factorization.

63825740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365345 (or 365333 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 63825740160 in words is "sixty-three billion, eight hundred twenty-five million, seven hundred forty thousand, one hundred sixty".