65464090560 has 672 divisors, whose sum is σ = 253066125312. Its totient is φ = 15397724160.

The previous prime is 65464090553. The next prime is 65464090633. The reversal of 65464090560 is 6509046456.

65464090560 is a `hidden beast` number, since 6 + 5 + 46 + 40 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×65464090560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213237927 + ... + 213238233.

It is an arithmetic number, because the mean of its divisors is an integer number (376586496).

Almost surely, 2^65464090560 is an apocalyptic number.

65464090560 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 65464090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126533062656).

65464090560 is an abundant number, since it is smaller than the sum of its proper divisors (187602034752).

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

65464090560 is a wasteful number, since it uses less digits than its factorization.

65464090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 65464090560 in words is "sixty-five billion, four hundred sixty-four million, ninety thousand, five hundred sixty".