64455346464 has 384 divisors, whose sum is σ = 191687731200. Its totient is φ = 18868101120.

The previous prime is 64455346453. The next prime is 64455346493. The reversal of 64455346464 is 46464355446.

It is a super-3 number, since 3×64455346464³ (a number of 33 digits) contains 333 as substring.

Its product of digits (16588800) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227757267 + ... + 227757549.

It is an arithmetic number, because the mean of its divisors is an integer number (499186800).

Almost surely, 2^64455346464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64455346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95843865600).

64455346464 is an abundant number, since it is smaller than the sum of its proper divisors (127232384736).

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

64455346464 is a wasteful number, since it uses less digits than its factorization.

64455346464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 51.

The spelling of 64455346464 in words is "sixty-four billion, four hundred fifty-five million, three hundred forty-six thousand, four hundred sixty-four".