663977502720 has 2160 divisors, whose sum is σ = 3028915349460. Its totient is φ = 138231152640.

The previous prime is 663977502719. The next prime is 663977502803. The reversal of 663977502720 is 27205779366.

663977502720 is a `hidden beast` number, since 6 + 63 + 9 + 7 + 7 + 502 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 660071752704 + 3905750016 = 812448^2 + 62496^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×663977502720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 21418629105 + ... + 21418629135.

Almost surely, 2^663977502720 is an apocalyptic number.

663977502720 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 663977502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514457674730).

663977502720 is an abundant number, since it is smaller than the sum of its proper divisors (2364937846740).

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

663977502720 is a wasteful number, since it uses less digits than its factorization.

663977502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 663977502720 in words is "six hundred sixty-three billion, nine hundred seventy-seven million, five hundred two thousand, seven hundred twenty".