661182084763200 has 13440 divisors, whose sum is σ = 3761600842137600. Its totient is φ = 109215350784000.

The previous prime is 661182084763171. The next prime is 661182084763223. The reversal of 661182084763200 is 2367480281166.

It is a happy number.

661182084763200 is a `hidden beast` number, since 6 + 6 + 118 + 20 + 8 + 476 + 32 + 0 + 0 = 666.

It is a super-2 number, since 2×661182084763200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 1298982484546 + ... + 1298982485054.

It is an arithmetic number, because the mean of its divisors is an integer number (279881015040).

Almost surely, 2^{661182084763200} is an apocalyptic number.

661182084763200 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 661182084763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880800421068800).

661182084763200 is an abundant number, since it is smaller than the sum of its proper divisors (3100418757374400).

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

661182084763200 is a wasteful number, since it uses less digits than its factorization.

661182084763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 661182084763200 in words is "six hundred sixty-one trillion, one hundred eighty-two billion, eighty-four million, seven hundred sixty-three thousand, two hundred".