661124549887200 has 648 divisors, whose sum is σ = 2756366911148760. Its totient is φ = 148636896307200.

The previous prime is 661124549887163. The next prime is 661124549887231. The reversal of 661124549887200 is 2788945421166.

It is a happy number.

661124549887200 is a `hidden beast` number, since 6 + 6 + 1 + 1 + 2 + 4 + 549 + 8 + 87 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6160671 + ... + 36880929.

Almost surely, 2^{661124549887200} is an apocalyptic number.

661124549887200 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 661124549887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378183455574380).

661124549887200 is an abundant number, since it is smaller than the sum of its proper divisors (2095242361261560).

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

661124549887200 is a wasteful number, since it uses less digits than its factorization.

661124549887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30720360 (or 30720337 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 661124549887200 in words is "six hundred sixty-one trillion, one hundred twenty-four billion, five hundred forty-nine million, eight hundred eighty-seven thousand, two hundred".