661713512803200 has 4320 divisors, whose sum is σ = 2982667666750200. Its totient is φ = 143198834688000.

The previous prime is 661713512803171. The next prime is 661713512803207. The reversal of 661713512803200 is 2308215317166.

It is a happy number.

661713512803200 is a `hidden beast` number, since 6 + 6 + 1 + 71 + 351 + 28 + 0 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661713512803207) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 463060540086 + ... + 463060541514.

Almost surely, 2^{661713512803200} is an apocalyptic number.

661713512803200 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 661713512803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491333833375100).

661713512803200 is an abundant number, since it is smaller than the sum of its proper divisors (2320954153947000).

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

661713512803200 is a wasteful number, since it uses less digits than its factorization.

661713512803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 661713512803200 in words is "six hundred sixty-one trillion, seven hundred thirteen billion, five hundred twelve million, eight hundred three thousand, two hundred".