61859790720 has 1792 divisors, whose sum is σ = 287687393280. Its totient is φ = 12361973760.

The previous prime is 61859790719. The next prime is 61859790749. The reversal of 61859790720 is 2709795816.

61859790720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 223 ways as a sum of consecutive naturals, for example, 1316165737 + ... + 1316165783.

It is an arithmetic number, because the mean of its divisors is an integer number (160539840).

Almost surely, 2^61859790720 is an apocalyptic number.

61859790720 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 61859790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143843696640).

61859790720 is an abundant number, since it is smaller than the sum of its proper divisors (225827602560).

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

61859790720 is a wasteful number, since it uses less digits than its factorization.

61859790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 61859790720 in words is "sixty-one billion, eight hundred fifty-nine million, seven hundred ninety thousand, seven hundred twenty".