61743558240 has 576 divisors, whose sum is σ = 272982528000. Its totient is φ = 12341071872.

The previous prime is 61743558209. The next prime is 61743558257. The reversal of 61743558240 is 4285534716.

61743558240 is a `hidden beast` number, since 6 + 1 + 74 + 3 + 558 + 24 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2477361 + ... + 2502159.

It is an arithmetic number, because the mean of its divisors is an integer number (473928000).

Almost surely, 2^61743558240 is an apocalyptic number.

61743558240 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 61743558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264000).

61743558240 is an abundant number, since it is smaller than the sum of its proper divisors (211238969760).

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

61743558240 is a wasteful number, since it uses less digits than its factorization.

61743558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24859 (or 24848 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 61743558240 in words is "sixty-one billion, seven hundred forty-three million, five hundred fifty-eight thousand, two hundred forty".