64456636416 has 288 divisors, whose sum is σ = 188594864640. Its totient is φ = 19552665600.

The previous prime is 64456636411. The next prime is 64456636429. The reversal of 64456636416 is 61463665446.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64456636411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55043511 + ... + 55044681.

It is an arithmetic number, because the mean of its divisors is an integer number (654843280).

Almost surely, 2^64456636416 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 64456636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94297432320).

64456636416 is an abundant number, since it is smaller than the sum of its proper divisors (124138228224).

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

64456636416 is a wasteful number, since it uses less digits than its factorization.

64456636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1224 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 51.

The spelling of 64456636416 in words is "sixty-four billion, four hundred fifty-six million, six hundred thirty-six thousand, four hundred sixteen".