63273036960 has 576 divisors, whose sum is σ = 266802681600. Its totient is φ = 13329432576.

The previous prime is 63273036947. The next prime is 63273036973. The reversal of 63273036960 is 6963037236.

63273036960 is a `hidden beast` number, since 632 + 7 + 3 + 0 + 3 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63273036947) and next prime (63273036973).

It is a super-2 number, since 2×63273036960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7081776 + ... + 7090704.

It is an arithmetic number, because the mean of its divisors is an integer number (463199100).

Almost surely, 2^63273036960 is an apocalyptic number.

63273036960 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 63273036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133401340800).

63273036960 is an abundant number, since it is smaller than the sum of its proper divisors (203529644640).

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

63273036960 is a wasteful number, since it uses less digits than its factorization.

63273036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 63273036960 in words is "sixty-three billion, two hundred seventy-three million, thirty-six thousand, nine hundred sixty".