61768562688000 has 4320 divisors, whose sum is σ = 286352700379200. Its totient is φ = 13198845542400.

The previous prime is 61768562687971. The next prime is 61768562688031. The reversal of 61768562688000 is 88626586716.

61768562688000 is a `hidden beast` number, since 6 + 1 + 7 + 6 + 8 + 562 + 68 + 8 + 0 + 0 + 0 = 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 414554111926 + ... + 414554112074.

It is an arithmetic number, because the mean of its divisors is an integer number (66285347310).

Almost surely, 2^{61768562688000} is an apocalyptic number.

61768562688000 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 61768562688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143176350189600).

61768562688000 is an abundant number, since it is smaller than the sum of its proper divisors (224584137691200).

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

61768562688000 is an equidigital number, since it uses as much as digits as its factorization.

61768562688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 183 counting only the distinct ones).

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

The spelling of 61768562688000 in words is "sixty-one trillion, seven hundred sixty-eight billion, five hundred sixty-two million, six hundred eighty-eight thousand".