61218270720 has 280 divisors, whose sum is σ = 220076590536. Its totient is φ = 16324374528.

The previous prime is 61218270713. The next prime is 61218270727. The reversal of 61218270720 is 2707281216.

61218270720 is a `hidden beast` number, since 612 + 18 + 2 + 7 + 0 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (61218270713) and next prime (61218270727).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61218270727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1849839 + ... + 1882641.

Almost surely, 2^61218270720 is an apocalyptic number.

61218270720 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 61218270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110038295268).

61218270720 is an abundant number, since it is smaller than the sum of its proper divisors (158858319816).

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

61218270720 is an frugal number, since it uses more digits than its factorization.

61218270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32844 (or 32813 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 61218270720 in words is "sixty-one billion, two hundred eighteen million, two hundred seventy thousand, seven hundred twenty".