63792064 has 112 divisors (see below), whose sum is σ = 155667456. Its totient is φ = 25344000.

The previous prime is 63792061. The next prime is 63792073. The reversal of 63792064 is 46029736.

63792064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63792061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422389 + ... + 422539.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^63792064 is an apocalyptic number.

63792064 is a gapful number since it is divisible by the number (64) 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 63792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

63792064 is an abundant number, since it is smaller than the sum of its proper divisors (91875392).

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

63792064 is a wasteful number, since it uses less digits than its factorization.

63792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 63792064 is about 7986.9934268159. The cubic root of 63792064 is about 399.5663299957.

The spelling of 63792064 in words is "sixty-three million, seven hundred ninety-two thousand, sixty-four".