663407690400 has 864 divisors, whose sum is σ = 2985905639808. Its totient is φ = 139968000000.

The previous prime is 663407690399. The next prime is 663407690401. The reversal of 663407690400 is 4096704366.

663407690400 is a `hidden beast` number, since 6 + 634 + 0 + 7 + 6 + 9 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663407690399) and next prime (663407690401).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (663407690401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17671650 + ... + 17709150.

Almost surely, 2^663407690400 is an apocalyptic number.

663407690400 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 663407690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492952819904).

663407690400 is an abundant number, since it is smaller than the sum of its proper divisors (2322497949408).

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

663407690400 is a wasteful number, since it uses less digits than its factorization.

663407690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37556 (or 37531 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 663407690400 in words is "six hundred sixty-three billion, four hundred seven million, six hundred ninety thousand, four hundred".