61711306304 has 56 divisors (see below), whose sum is σ = 124080422400. Its totient is φ = 30447406080.

The previous prime is 61711306301. The next prime is 61711306343. The reversal of 61711306304 is 40360311716.

61711306304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61711306304² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (61711306301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15009209 + ... + 15013319.

Almost surely, 2^61711306304 is an apocalyptic number.

61711306304 is a gapful number since it is divisible by the number (64) 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 61711306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62040211200).

61711306304 is an abundant number, since it is smaller than the sum of its proper divisors (62369116096).

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

61711306304 is a wasteful number, since it uses less digits than its factorization.

61711306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 61711306304 in words is "sixty-one billion, seven hundred eleven million, three hundred six thousand, three hundred four".