663133236480 has 1728 divisors, whose sum is σ = 2963124073728. Its totient is φ = 139505172480.

The previous prime is 663133236433. The next prime is 663133236487. The reversal of 663133236480 is 84632331366.

663133236480 is a `hidden beast` number, since 6 + 6 + 3 + 133 + 2 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (663133236487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 756137802 + ... + 756138678.

It is an arithmetic number, because the mean of its divisors is an integer number (1714770876).

Almost surely, 2^663133236480 is an apocalyptic number.

663133236480 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 663133236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481562036864).

663133236480 is an abundant number, since it is smaller than the sum of its proper divisors (2299990837248).

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

663133236480 is a wasteful number, since it uses less digits than its factorization.

663133236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 663133236480 in words is "six hundred sixty-three billion, one hundred thirty-three million, two hundred thirty-six thousand, four hundred eighty".