60948890688 has 672 divisors, whose sum is σ = 216155381760. Its totient is φ = 15002910720.

The previous prime is 60948890683. The next prime is 60948890689. The reversal of 60948890688 is 88609884906.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×60948890688² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60948890683) by changing a digit.

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, 94201981 + ... + 94202627.

Almost surely, 2^60948890688 is an apocalyptic number.

60948890688 is a gapful number since it is divisible by the number (68) 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 60948890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108077690880).

60948890688 is an abundant number, since it is smaller than the sum of its proper divisors (155206491072).

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

60948890688 is a wasteful number, since it uses less digits than its factorization.

60948890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 66.

The spelling of 60948890688 in words is "sixty billion, nine hundred forty-eight million, eight hundred ninety thousand, six hundred eighty-eight".