61378218270720 has 2240 divisors, whose sum is σ = 247157573715360. Its totient is φ = 14472865382400.

The previous prime is 61378218270703. The next prime is 61378218270749. The reversal of 61378218270720 is 2707281287316.

61378218270720 is a `hidden beast` number, since 6 + 1 + 378 + 2 + 182 + 70 + 7 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21967144095744 + 39411074174976 = 4686912^2 + 6277824^2 .

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 159 ways as a sum of consecutive naturals, for example, 107870330596 + ... + 107870331164.

Almost surely, 2^{61378218270720} is an apocalyptic number.

61378218270720 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 61378218270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123578786857680).

61378218270720 is an abundant number, since it is smaller than the sum of its proper divisors (185779355444640).

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

61378218270720 is a wasteful number, since it uses less digits than its factorization.

61378218270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 61378218270720 in words is "sixty-one trillion, three hundred seventy-eight billion, two hundred eighteen million, two hundred seventy thousand, seven hundred twenty".