663965478000 has 960 divisors, whose sum is σ = 2630793285120. Its totient is φ = 159952320000.

The previous prime is 663965477999. The next prime is 663965478013. The reversal of 663965478000 is 874569366.

663965478000 is a `hidden beast` number, since 6 + 6 + 3 + 96 + 547 + 8 + 0 + 0 + 0 = 666.

663965478000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2005937835 + ... + 2005938165.

It is an arithmetic number, because the mean of its divisors is an integer number (2740409672).

Almost surely, 2^663965478000 is an apocalyptic number.

663965478000 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 663965478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315396642560).

663965478000 is an abundant number, since it is smaller than the sum of its proper divisors (1966827807120).

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

663965478000 is a wasteful number, since it uses less digits than its factorization.

663965478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 663965478000 in words is "six hundred sixty-three billion, nine hundred sixty-five million, four hundred seventy-eight thousand".