63409683972096 has 3240 divisors, whose sum is σ = 252271834116120. Its totient is φ = 15259926528000.

The previous prime is 63409683972073. The next prime is 63409683972109. The reversal of 63409683972096 is 69027938690436.

63409683972096 is a `hidden beast` number, since 6 + 3 + 40 + 96 + 8 + 397 + 20 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2014310301696 + 61395373670400 = 1419264^2 + 7835520^2 .

It is a super-2 number, since 2×63409683972096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1039503015906 + ... + 1039503015966.

Almost surely, 2^{63409683972096} is an apocalyptic number.

63409683972096 is a gapful number since it is divisible by the number (66) 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 63409683972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126135917058060).

63409683972096 is an abundant number, since it is smaller than the sum of its proper divisors (188862150144024).

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

63409683972096 is a wasteful number, since it uses less digits than its factorization.

63409683972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 63409683972096 in words is "sixty-three trillion, four hundred nine billion, six hundred eighty-three million, nine hundred seventy-two thousand, ninety-six".