64704407040 has 1280 divisors, whose sum is σ = 288621527040. Its totient is φ = 13544423424.

The previous prime is 64704406997. The next prime is 64704407059. The reversal of 64704407040 is 4070440746.

64704407040 is a `hidden beast` number, since 647 + 0 + 4 + 4 + 0 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 64704406986 and 64704407004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509483457 + ... + 509483583.

It is an arithmetic number, because the mean of its divisors is an integer number (225485568).

Almost surely, 2^64704407040 is an apocalyptic number.

64704407040 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 64704407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144310763520).

64704407040 is an abundant number, since it is smaller than the sum of its proper divisors (223917120000).

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

64704407040 is an equidigital number, since it uses as much as digits as its factorization.

64704407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 64704407040 its reverse (4070440746), we get a palindrome (68774847786).

The spelling of 64704407040 in words is "sixty-four billion, seven hundred four million, four hundred seven thousand, forty".