60126675840 has 768 divisors, whose sum is σ = 268497815040. Its totient is φ = 12491366400.

The previous prime is 60126675781. The next prime is 60126675857. The reversal of 60126675840 is 4857662106.

60126675840 is a `hidden beast` number, since 6 + 0 + 1 + 2 + 6 + 67 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11972530 + ... + 11977550.

It is an arithmetic number, because the mean of its divisors is an integer number (349606530).

Almost surely, 2^60126675840 is an apocalyptic number.

60126675840 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 60126675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134248907520).

60126675840 is an abundant number, since it is smaller than the sum of its proper divisors (208371139200).

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

60126675840 is a wasteful number, since it uses less digits than its factorization.

60126675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 60126675840 in words is "sixty billion, one hundred twenty-six million, six hundred seventy-five thousand, eight hundred forty".