63982760670864 has 240 divisors, whose sum is σ = 209491163731200. Its totient is φ = 18222003717120.

The previous prime is 63982760670841. The next prime is 63982760670931. The reversal of 63982760670864 is 46807606728936.

63982760670864 is a `hidden beast` number, since 6 + 3 + 9 + 8 + 2 + 7 + 606 + 7 + 0 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×63982760670864² (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 a junction number, because it is equal to n+sod(n) for n = 63982760670792 and 63982760670801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13278264 + ... + 17443560.

It is an arithmetic number, because the mean of its divisors is an integer number (872879848880).

Almost surely, 2^{63982760670864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63982760670864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104745581865600).

63982760670864 is an abundant number, since it is smaller than the sum of its proper divisors (145508403060336).

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

63982760670864 is a wasteful number, since it uses less digits than its factorization.

63982760670864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165643 (or 4165620 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 63982760670864 in words is "sixty-three trillion, nine hundred eighty-two billion, seven hundred sixty million, six hundred seventy thousand, eight hundred sixty-four".