63653379863040 has 2240 divisors, whose sum is σ = 258345711816192. Its totient is φ = 14898865766400.

The previous prime is 63653379863011. The next prime is 63653379863069. The reversal of 63653379863040 is 4036897335636.

It is a happy number.

63653379863040 is a `hidden beast` number, since 6 + 3 + 6 + 533 + 7 + 98 + 6 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63653379863011) and next prime (63653379863069).

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 223 ways as a sum of consecutive naturals, for example, 137480301849 + ... + 137480302311.

Almost surely, 2^{63653379863040} is an apocalyptic number.

63653379863040 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 63653379863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129172855908096).

63653379863040 is an abundant number, since it is smaller than the sum of its proper divisors (194692331953152).

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

63653379863040 is a wasteful number, since it uses less digits than its factorization.

63653379863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 63653379863040 in words is "sixty-three trillion, six hundred fifty-three billion, three hundred seventy-nine million, eight hundred sixty-three thousand, forty".