60928842240 has 720 divisors, whose sum is σ = 254065691880. Its totient is φ = 13439139840.

The previous prime is 60928842239. The next prime is 60928842257. The reversal of 60928842240 is 4224882906.

60928842240 is a `hidden beast` number, since 60 + 92 + 88 + 422 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27886328064 + 33042514176 = 166992^2 + 181776^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32738910 + ... + 32740770.

Almost surely, 2^60928842240 is an apocalyptic number.

60928842240 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 60928842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127032845940).

60928842240 is an abundant number, since it is smaller than the sum of its proper divisors (193136849640).

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

60928842240 is a wasteful number, since it uses less digits than its factorization.

60928842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 60928842240 in words is "sixty billion, nine hundred twenty-eight million, eight hundred forty-two thousand, two hundred forty".