63323340672 has 128 divisors (see below), whose sum is σ = 172101841920. Its totient is φ = 20623104000.

The previous prime is 63323340671. The next prime is 63323340701. The reversal of 63323340672 is 27604332336.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×63323340672³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 63323340672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63323340671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3528073 + ... + 3545975.

It is an arithmetic number, because the mean of its divisors is an integer number (1344545640).

Almost surely, 2^63323340672 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 63323340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86050920960).

63323340672 is an abundant number, since it is smaller than the sum of its proper divisors (108778501248).

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

63323340672 is a wasteful number, since it uses less digits than its factorization.

63323340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18132 (or 18120 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 39.

The spelling of 63323340672 in words is "sixty-three billion, three hundred twenty-three million, three hundred forty thousand, six hundred seventy-two".