63765863789040 has 720 divisors, whose sum is σ = 263318667955200. Its totient is φ = 13750138063872.

The previous prime is 63765863789027. The next prime is 63765863789051. The reversal of 63765863789040 is 4098736856736.

63765863789040 is a `hidden beast` number, since 6 + 3 + 7 + 6 + 586 + 37 + 8 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a self number, because there is not a number n which added to its sum of digits gives 63765863789040.

It is a congruent number.

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, 160007469 + ... + 160405491.

It is an arithmetic number, because the mean of its divisors is an integer number (365720372160).

Almost surely, 2^{63765863789040} is an apocalyptic number.

63765863789040 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 63765863789040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131659333977600).

63765863789040 is an abundant number, since it is smaller than the sum of its proper divisors (199552804166160).

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

63765863789040 is a wasteful number, since it uses less digits than its factorization.

63765863789040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398314 (or 398298 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 63765863789040 in words is "sixty-three trillion, seven hundred sixty-five billion, eight hundred sixty-three million, seven hundred eighty-nine thousand, forty".