61275624240 has 320 divisors, whose sum is σ = 205186867200. Its totient is φ = 15091507200.

The previous prime is 61275624203. The next prime is 61275624247. The reversal of 61275624240 is 4242657216.

It is not an unprimeable number, because it can be changed into a prime (61275624247) by changing a digit.

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, 19201045 + ... + 19204235.

It is an arithmetic number, because the mean of its divisors is an integer number (641208960).

Almost surely, 2^61275624240 is an apocalyptic number.

61275624240 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 61275624240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102593433600).

61275624240 is an abundant number, since it is smaller than the sum of its proper divisors (143911242960).

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

61275624240 is a wasteful number, since it uses less digits than its factorization.

61275624240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 61275624240 in words is "sixty-one billion, two hundred seventy-five million, six hundred twenty-four thousand, two hundred forty".