60456006072 has 256 divisors, whose sum is σ = 210478694400. Its totient is φ = 15619824000.

The previous prime is 60456006059. The next prime is 60456006097. The reversal of 60456006072 is 27060065406.

60456006072 is a `hidden beast` number, since 6 + 0 + 45 + 6 + 0 + 0 + 607 + 2 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 3167197 + ... + 3186227.

It is an arithmetic number, because the mean of its divisors is an integer number (822182400).

Almost surely, 2^60456006072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60456006072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105239347200).

60456006072 is an abundant number, since it is smaller than the sum of its proper divisors (150022688328).

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

60456006072 is a wasteful number, since it uses less digits than its factorization.

60456006072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19255 (or 19245 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 60456006072 in words is "sixty billion, four hundred fifty-six million, six thousand, seventy-two".