663929420400 has 360 divisors, whose sum is σ = 2349262675760. Its totient is φ = 173605109760.

The previous prime is 663929420389. The next prime is 663929420513. The reversal of 663929420400 is 4024929366.

663929420400 is a `hidden beast` number, since 6 + 639 + 2 + 9 + 4 + 2 + 0 + 4 + 0 + 0 = 666.

663929420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38054079 + ... + 38071521.

Almost surely, 2^663929420400 is an apocalyptic number.

663929420400 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 663929420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174631337880).

663929420400 is an abundant number, since it is smaller than the sum of its proper divisors (1685333255360).

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

663929420400 is a wasteful number, since it uses less digits than its factorization.

663929420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17673 (or 17659 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 663929420400 in words is "six hundred sixty-three billion, nine hundred twenty-nine million, four hundred twenty thousand, four hundred".