64316091840 has 1792 divisors, whose sum is σ = 302027636736. Its totient is φ = 11147673600.

The previous prime is 64316091817. The next prime is 64316091877. The reversal of 64316091840 is 4819061346.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 64316091792 and 64316091801.

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 255 ways as a sum of consecutive naturals, for example, 506425857 + ... + 506425983.

It is an arithmetic number, because the mean of its divisors is an integer number (168542208).

Almost surely, 2^64316091840 is an apocalyptic number.

64316091840 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 64316091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151013818368).

64316091840 is an abundant number, since it is smaller than the sum of its proper divisors (237711544896).

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

64316091840 is a wasteful number, since it uses less digits than its factorization.

64316091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 64316091840 in words is "sixty-four billion, three hundred sixteen million, ninety-one thousand, eight hundred forty".