63413129340 has 336 divisors, whose sum is σ = 227294194176. Its totient is φ = 14703638400.

The previous prime is 63413129321. The next prime is 63413129347. The reversal of 63413129340 is 4392131436.

63413129340 is a `hidden beast` number, since 634 + 1 + 3 + 12 + 9 + 3 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 63413129295 and 63413129304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63413129347) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3680145 + ... + 3697335.

It is an arithmetic number, because the mean of its divisors is an integer number (676470816).

Almost surely, 2^63413129340 is an apocalyptic number.

63413129340 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 63413129340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113647097088).

63413129340 is an abundant number, since it is smaller than the sum of its proper divisors (163881064836).

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

63413129340 is a wasteful number, since it uses less digits than its factorization.

63413129340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17252 (or 17235 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 63413129340 in words is "sixty-three billion, four hundred thirteen million, one hundred twenty-nine thousand, three hundred forty".