63723717792 has 192 divisors, whose sum is σ = 215405568000. Its totient is φ = 17950222080.

The previous prime is 63723717787. The next prime is 63723717797. The reversal of 63723717792 is 29771732736.

It is an interprime number because it is at equal distance from previous prime (63723717787) and next prime (63723717797).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63723717797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355209 + ... + 503607.

It is an arithmetic number, because the mean of its divisors is an integer number (1121904000).

Almost surely, 2^63723717792 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 63723717792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702784000).

63723717792 is an abundant number, since it is smaller than the sum of its proper divisors (151681850208).

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

63723717792 is a wasteful number, since it uses less digits than its factorization.

63723717792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148496 (or 148482 counting only the distinct ones).

The product of its digits is 4667544, while the sum is 54.

The spelling of 63723717792 in words is "sixty-three billion, seven hundred twenty-three million, seven hundred seventeen thousand, seven hundred ninety-two".