663053235840 has 384 divisors, whose sum is σ = 2434434322320. Its totient is φ = 165716951040.

The previous prime is 663053235839. The next prime is 663053235841. The reversal of 663053235840 is 48532350366.

663053235840 is a `hidden beast` number, since 6 + 6 + 3 + 0 + 532 + 35 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663053235839) and next prime (663053235841).

It can be written as a sum of positive squares in 8 ways, for example, as 225518612544 + 437534623296 = 474888^2 + 661464^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 (663053235841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23584672 + ... + 23612768.

Almost surely, 2^663053235840 is an apocalyptic number.

663053235840 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 663053235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217217161160).

663053235840 is an abundant number, since it is smaller than the sum of its proper divisors (1771381086480).

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

663053235840 is a wasteful number, since it uses less digits than its factorization.

663053235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28380 (or 28365 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 663053235840 in words is "six hundred sixty-three billion, fifty-three million, two hundred thirty-five thousand, eight hundred forty".