64010259456 has 352 divisors, whose sum is σ = 211014585600. Its totient is φ = 16960389120.

The previous prime is 64010259451. The next prime is 64010259473. The reversal of 64010259456 is 65495201046.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (64010259451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8342790 + ... + 8350458.

Almost surely, 2^64010259456 is an apocalyptic number.

64010259456 is a gapful number since it is divisible by the number (66) 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 64010259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105507292800).

64010259456 is an abundant number, since it is smaller than the sum of its proper divisors (147004326144).

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

64010259456 is a wasteful number, since it uses less digits than its factorization.

64010259456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7735 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 64010259456 in words is "sixty-four billion, ten million, two hundred fifty-nine thousand, four hundred fifty-six".