63948378293280 has 144 divisors (see below), whose sum is σ = 235010290296600. Its totient is φ = 15741139267584.

The previous prime is 63948378293269. The next prime is 63948378293309. The reversal of 63948378293280 is 8239287384936.

It is a happy number.

63948378293280 is a `hidden beast` number, since 6 + 3 + 94 + 8 + 378 + 2 + 93 + 2 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41885178959376 + 22063199333904 = 6471876^2 + 4697148^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 63948378293199 and 63948378293208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708004205 + ... + 1708041644.

Almost surely, 2^{63948378293280} is an apocalyptic number.

63948378293280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63948378293280 is an abundant number, since it is smaller than the sum of its proper divisors (171061912003320).

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

63948378293280 is a wasteful number, since it uses less digits than its factorization.

63948378293280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416045883 (or 3416045872 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 63948378293280 in words is "sixty-three trillion, nine hundred forty-eight billion, three hundred seventy-eight million, two hundred ninety-three thousand, two hundred eighty".