64312464040 has 128 divisors (see below), whose sum is σ = 168422094720. Its totient is φ = 21842329600.

The previous prime is 64312463993. The next prime is 64312464071. The reversal of 64312464040 is 4046421346.

64312464040 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 (34).

It is a junction number, because it is equal to n+sod(n) for n = 64312463987 and 64312464005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947064 + ... + 1012696.

It is an arithmetic number, because the mean of its divisors is an integer number (1315797615).

Almost surely, 2^64312464040 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 64312464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84211047360).

64312464040 is an abundant number, since it is smaller than the sum of its proper divisors (104109630680).

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

64312464040 is a wasteful number, since it uses less digits than its factorization.

64312464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65803 (or 65799 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 64312464040 its reverse (4046421346), we get a palindrome (68358885386).

The spelling of 64312464040 in words is "sixty-four billion, three hundred twelve million, four hundred sixty-four thousand, forty".