61750241280 has 1152 divisors, whose sum is σ = 271881792000. Its totient is φ = 12612796416.

The previous prime is 61750241249. The next prime is 61750241309. The reversal of 61750241280 is 8214205716.

61750241280 is a `hidden beast` number, since 61 + 7 + 502 + 4 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310302621 + ... + 310302819.

It is an arithmetic number, because the mean of its divisors is an integer number (236008500).

Almost surely, 2^61750241280 is an apocalyptic number.

61750241280 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 61750241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135940896000).

61750241280 is an abundant number, since it is smaller than the sum of its proper divisors (210131550720).

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

61750241280 is a wasteful number, since it uses less digits than its factorization.

61750241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 61750241280 its reverse (8214205716), we get a palindrome (69964446996).

The spelling of 61750241280 in words is "sixty-one billion, seven hundred fifty million, two hundred forty-one thousand, two hundred eighty".