63671115648 has 512 divisors, whose sum is σ = 221025024000. Its totient is φ = 15804923904.

The previous prime is 63671115647. The next prime is 63671115649. The reversal of 63671115648 is 84651117636.

It is an interprime number because it is at equal distance from previous prime (63671115647) and next prime (63671115649).

It is a super-3 number, since 3×63671115648³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 63671115597 and 63671115606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63671115647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30478188 + ... + 30480276.

It is an arithmetic number, because the mean of its divisors is an integer number (431689500).

Almost surely, 2^63671115648 is an apocalyptic number.

63671115648 is a gapful number since it is divisible by the number (68) 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 63671115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110512512000).

63671115648 is an abundant number, since it is smaller than the sum of its proper divisors (157353908352).

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

63671115648 is a wasteful number, since it uses less digits than its factorization.

63671115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2170 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 63671115648 in words is "sixty-three billion, six hundred seventy-one million, one hundred fifteen thousand, six hundred forty-eight".