64553716416 has 168 divisors, whose sum is σ = 202912528896. Its totient is φ = 18051371520.

The previous prime is 64553716411. The next prime is 64553716421. The reversal of 64553716416 is 61461735546.

It is an interprime number because it is at equal distance from previous prime (64553716411) and next prime (64553716421).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (64553716411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369181 + ... + 515171.

It is an arithmetic number, because the mean of its divisors is an integer number (1207812672).

Almost surely, 2^64553716416 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 64553716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101456264448).

64553716416 is an abundant number, since it is smaller than the sum of its proper divisors (138358812480).

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

64553716416 is a wasteful number, since it uses less digits than its factorization.

64553716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146067 (or 146050 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The spelling of 64553716416 in words is "sixty-four billion, five hundred fifty-three million, seven hundred sixteen thousand, four hundred sixteen".