61983010615680 has 4096 divisors, whose sum is σ = 287999953920000. Its totient is φ = 12746807377920.

The previous prime is 61983010615663. The next prime is 61983010615709. The reversal of 61983010615680 is 8651601038916.

61983010615680 is a `hidden beast` number, since 6 + 1 + 9 + 8 + 3 + 0 + 10 + 61 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 639000109392 + ... + 639000109488.

It is an arithmetic number, because the mean of its divisors is an integer number (70312488750).

Almost surely, 2^{61983010615680} is an apocalyptic number.

61983010615680 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 61983010615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143999976960000).

61983010615680 is an abundant number, since it is smaller than the sum of its proper divisors (226016943304320).

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

61983010615680 is an frugal number, since it uses more digits than its factorization.

61983010615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 61983010615680 in words is "sixty-one trillion, nine hundred eighty-three billion, ten million, six hundred fifteen thousand, six hundred eighty".