61679084814720 has 384 divisors, whose sum is σ = 215225137895040. Its totient is φ = 16274876792832.

The previous prime is 61679084814707. The next prime is 61679084814749. The reversal of 61679084814720 is 2741848097616.

61679084814720 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 9 + 0 + 84 + 81 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4049036224 + ... + 4049051456.

It is an arithmetic number, because the mean of its divisors is an integer number (560482129935).

Almost surely, 2^{61679084814720} is an apocalyptic number.

61679084814720 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 61679084814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107612568947520).

61679084814720 is an abundant number, since it is smaller than the sum of its proper divisors (153546053080320).

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

61679084814720 is a wasteful number, since it uses less digits than its factorization.

61679084814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22602 (or 22587 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 61679084814720 in words is "sixty-one trillion, six hundred seventy-nine billion, eighty-four million, eight hundred fourteen thousand, seven hundred twenty".