61605223680 has 1728 divisors, whose sum is σ = 280603459584. Its totient is φ = 11191910400.

The previous prime is 61605223661. The next prime is 61605223741. The reversal of 61605223680 is 8632250616.

61605223680 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1310749417 + ... + 1310749463.

Almost surely, 2^61605223680 is an apocalyptic number.

61605223680 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 61605223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140301729792).

61605223680 is an abundant number, since it is smaller than the sum of its proper divisors (218998235904).

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

61605223680 is a wasteful number, since it uses less digits than its factorization.

61605223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 61605223680 in words is "sixty-one billion, six hundred five million, two hundred twenty-three thousand, six hundred eighty".