64679040 has 256 divisors, whose sum is σ = 242352000. Its totient is φ = 16257024.

The previous prime is 64679011. The next prime is 64679047. The reversal of 64679040 is 4097646.

64679040 is a `hidden beast` number, since 646 + 7 + 9 + 0 + 4 + 0 = 666.

64679040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64678986 and 64679004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64679047) 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 31 ways as a sum of consecutive naturals, for example, 328222 + ... + 328418.

Almost surely, 2^64679040 is an apocalyptic number.

64679040 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 64679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121176000).

64679040 is an abundant number, since it is smaller than the sum of its proper divisors (177672960).

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

64679040 is a wasteful number, since it uses less digits than its factorization.

64679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 64679040 is about 8042.3280211640. The cubic root of 64679040 is about 401.4096927463.

The spelling of 64679040 in words is "sixty-four million, six hundred seventy-nine thousand, forty".