64892465664 has 320 divisors, whose sum is σ = 194760867840. Its totient is φ = 19063848960.

The previous prime is 64892465647. The next prime is 64892465749. The reversal of 64892465664 is 46656429846.

It is a super-2 number, since 2×64892465664² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64892465598 and 64892465607.

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, 48900969 + ... + 48902295.

It is an arithmetic number, because the mean of its divisors is an integer number (608627712).

Almost surely, 2^64892465664 is an apocalyptic number.

64892465664 is a gapful number since it is divisible by the number (64) 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 64892465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97380433920).

64892465664 is an abundant number, since it is smaller than the sum of its proper divisors (129868402176).

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

64892465664 is a wasteful number, since it uses less digits than its factorization.

64892465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 60.

The spelling of 64892465664 in words is "sixty-four billion, eight hundred ninety-two million, four hundred sixty-five thousand, six hundred sixty-four".