61963646976000 has 5040 divisors, whose sum is σ = 297230295835200. Its totient is φ = 12875563008000.

The previous prime is 61963646975957. The next prime is 61963646976059. The reversal of 61963646976000 is 67964636916.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61963646976000 is a `hidden beast` number, since 6 + 19 + 6 + 3 + 6 + 4 + 6 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 335 ways as a sum of consecutive naturals, for example, 5633058815995 + ... + 5633058816005.

Almost surely, 2^{61963646976000} is an apocalyptic number.

61963646976000 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 61963646976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148615147917600).

61963646976000 is an abundant number, since it is smaller than the sum of its proper divisors (235266648859200).

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

61963646976000 is an frugal number, since it uses more digits than its factorization.

61963646976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 61963646976000 in words is "sixty-one trillion, nine hundred sixty-three billion, six hundred forty-six million, nine hundred seventy-six thousand".