63461413440 has 672 divisors, whose sum is σ = 243919638144. Its totient is φ = 15646556160.

The previous prime is 63461413403. The next prime is 63461413441. The reversal of 63461413440 is 4431416436.

63461413440 is a `hidden beast` number, since 6 + 3 + 4 + 614 + 1 + 34 + 4 + 0 = 666.

It is a super-2 number, since 2×63461413440² (a number of 22 digits) contains 22 as substring.

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 = 63461413395 and 63461413404.

It is not an unprimeable number, because it can be changed into a prime (63461413441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80636727 + ... + 80637513.

It is an arithmetic number, because the mean of its divisors is an integer number (362975652).

Almost surely, 2^63461413440 is an apocalyptic number.

63461413440 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 63461413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121959819072).

63461413440 is an abundant number, since it is smaller than the sum of its proper divisors (180458224704).

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

63461413440 is a wasteful number, since it uses less digits than its factorization.

63461413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

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

Adding to 63461413440 its reverse (4431416436), we get a palindrome (67892829876).

The spelling of 63461413440 in words is "sixty-three billion, four hundred sixty-one million, four hundred thirteen thousand, four hundred forty".