663434403840 has 1008 divisors, whose sum is σ = 2604164090112. Its totient is φ = 155869249536.

The previous prime is 663434403823. The next prime is 663434403883. The reversal of 663434403840 is 48304434366.

663434403840 is a `hidden beast` number, since 6 + 634 + 3 + 4 + 4 + 0 + 3 + 8 + 4 + 0 = 666.

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

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, 1432903449 + ... + 1432903911.

Almost surely, 2^663434403840 is an apocalyptic number.

663434403840 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 663434403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302082045056).

663434403840 is an abundant number, since it is smaller than the sum of its proper divisors (1940729686272).

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

663434403840 is a wasteful number, since it uses less digits than its factorization.

663434403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 663434403840 in words is "six hundred sixty-three billion, four hundred thirty-four million, four hundred three thousand, eight hundred forty".