61734718080 has 512 divisors, whose sum is σ = 255218688000. Its totient is φ = 13809291264.

The previous prime is 61734718063. The next prime is 61734718093. The reversal of 61734718080 is 8081743716.

61734718080 is a `hidden beast` number, since 6 + 173 + 471 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×61734718080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5679691 + ... + 5690549.

It is an arithmetic number, because the mean of its divisors is an integer number (498474000).

Almost surely, 2^61734718080 is an apocalyptic number.

61734718080 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 61734718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127609344000).

61734718080 is an abundant number, since it is smaller than the sum of its proper divisors (193483969920).

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

61734718080 is a wasteful number, since it uses less digits than its factorization.

61734718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 61734718080 in words is "sixty-one billion, seven hundred thirty-four million, seven hundred eighteen thousand, eighty".