663214694400 has 1344 divisors, whose sum is σ = 2597709450240. Its totient is φ = 165622579200.

The previous prime is 663214694383. The next prime is 663214694407. The reversal of 663214694400 is 4496412366.

663214694400 is a `hidden beast` number, since 6 + 63 + 2 + 146 + 9 + 440 + 0 = 666.

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 (663214694407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9085132764 + ... + 9085132836.

Almost surely, 2^663214694400 is an apocalyptic number.

663214694400 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 663214694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298854725120).

663214694400 is an abundant number, since it is smaller than the sum of its proper divisors (1934494755840).

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

663214694400 is a wasteful number, since it uses less digits than its factorization.

663214694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 663214694400 in words is "six hundred sixty-three billion, two hundred fourteen million, six hundred ninety-four thousand, four hundred".