60768623520 has 336 divisors, whose sum is σ = 234823512672. Its totient is φ = 14731476480.

The previous prime is 60768623501. The next prime is 60768623563. The reversal of 60768623520 is 2532686706.

It is a happy number.

60768623520 is a `hidden beast` number, since 6 + 0 + 7 + 68 + 62 + 3 + 520 = 666.

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 55 ways as a sum of consecutive naturals, for example, 1259359 + ... + 1306721.

It is an arithmetic number, because the mean of its divisors is an integer number (698879502).

Almost surely, 2^60768623520 is an apocalyptic number.

60768623520 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 60768623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411756336).

60768623520 is an abundant number, since it is smaller than the sum of its proper divisors (174054889152).

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

60768623520 is a wasteful number, since it uses less digits than its factorization.

60768623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47407 (or 47384 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 60768623520 in words is "sixty billion, seven hundred sixty-eight million, six hundred twenty-three thousand, five hundred twenty".