63829766436480 has 1152 divisors, whose sum is σ = 248659531585920. Its totient is φ = 15071164416000.

The previous prime is 63829766436427. The next prime is 63829766436511. The reversal of 63829766436480 is 8463466792836.

63829766436480 is a `hidden beast` number, since 6 + 3 + 8 + 2 + 97 + 66 + 436 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 63829766436399 and 63829766436408.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4107177510 + ... + 4107193050.

It is an arithmetic number, because the mean of its divisors is an integer number (215850287835).

Almost surely, 2^{63829766436480} is an apocalyptic number.

63829766436480 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 63829766436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124329765792960).

63829766436480 is an abundant number, since it is smaller than the sum of its proper divisors (184829765149440).

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

63829766436480 is a wasteful number, since it uses less digits than its factorization.

63829766436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742 (or 15716 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 72.

It can be divided in two parts, 63829766 and 436480, that added together give a palindrome (64266246).

The spelling of 63829766436480 in words is "sixty-three trillion, eight hundred twenty-nine billion, seven hundred sixty-six million, four hundred thirty-six thousand, four hundred eighty".