63849972764160 has 1280 divisors, whose sum is σ = 251450553277440. Its totient is φ = 15228518400000.

The previous prime is 63849972764147. The next prime is 63849972764167. The reversal of 63849972764160 is 6146727994836.

It is a happy number.

63849972764160 is a `hidden beast` number, since 6 + 3 + 8 + 499 + 7 + 2 + 76 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63849972764167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12517145610 + ... + 12517150710.

It is an arithmetic number, because the mean of its divisors is an integer number (196445744748).

Almost surely, 2^{63849972764160} is an apocalyptic number.

63849972764160 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 63849972764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125725276638720).

63849972764160 is an abundant number, since it is smaller than the sum of its proper divisors (187600580513280).

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

63849972764160 is a wasteful number, since it uses less digits than its factorization.

63849972764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 63849972764160 in words is "sixty-three trillion, eight hundred forty-nine billion, nine hundred seventy-two million, seven hundred sixty-four thousand, one hundred sixty".