64633662720 has 1152 divisors, whose sum is σ = 270518330880. Its totient is φ = 14438891520.

The previous prime is 64633662719. The next prime is 64633662721. The reversal of 64633662720 is 2726633646.

64633662720 is a `hidden beast` number, since 6 + 4 + 633 + 6 + 6 + 2 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64633662719) and next prime (64633662721).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64633662721) 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 127 ways as a sum of consecutive naturals, for example, 471778492 + ... + 471778628.

It is an arithmetic number, because the mean of its divisors is an integer number (234824940).

Almost surely, 2^64633662720 is an apocalyptic number.

64633662720 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 64633662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135259165440).

64633662720 is an abundant number, since it is smaller than the sum of its proper divisors (205884668160).

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

64633662720 is a wasteful number, since it uses less digits than its factorization.

64633662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 64633662720 in words is "sixty-four billion, six hundred thirty-three million, six hundred sixty-two thousand, seven hundred twenty".