6061735680 has 1152 divisors, whose sum is σ = 27691130880. Its totient is φ = 1088225280.

The previous prime is 6061735657. The next prime is 6061735717. The reversal of 6061735680 is 865371606.

6061735680 = T₃₈₉ + T₃₉₀ + ... + T₃₃₁₄.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73032919 + ... + 73033001.

It is an arithmetic number, because the mean of its divisors is an integer number (24037440).

Almost surely, 2^6061735680 is an apocalyptic number.

6061735680 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 6061735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845565440).

6061735680 is an abundant number, since it is smaller than the sum of its proper divisors (21629395200).

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

6061735680 is a wasteful number, since it uses less digits than its factorization.

6061735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6061735680 is about 77857.1491900391. The cubic root of 6061735680 is about 1823.3316264609.

The spelling of 6061735680 in words is "six billion, sixty-one million, seven hundred thirty-five thousand, six hundred eighty".