64018631040 has 512 divisors, whose sum is σ = 253157667840. Its totient is φ = 13399326720.

The previous prime is 64018631023. The next prime is 64018631063. The reversal of 64018631040 is 4013681046.

It is a junction number, because it is equal to n+sod(n) for n = 64018630992 and 64018631010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22886922 + ... + 22889718.

It is an arithmetic number, because the mean of its divisors is an integer number (494448570).

Almost surely, 2^64018631040 is an apocalyptic number.

64018631040 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 64018631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126578833920).

64018631040 is an abundant number, since it is smaller than the sum of its proper divisors (189139036800).

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

64018631040 is a wasteful number, since it uses less digits than its factorization.

64018631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 64018631040 in words is "sixty-four billion, eighteen million, six hundred thirty-one thousand, forty".