60612631200 has 432 divisors, whose sum is σ = 235813032000. Its totient is φ = 14527180800.

The previous prime is 60612631153. The next prime is 60612631213. The reversal of 60612631200 is 213621606.

60612631200 is a `hidden beast` number, since 6 + 0 + 6 + 1 + 2 + 631 + 20 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 7044501 + ... + 7053099.

It is an arithmetic number, because the mean of its divisors is an integer number (545863500).

Almost surely, 2^60612631200 is an apocalyptic number.

60612631200 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 60612631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117906516000).

60612631200 is an abundant number, since it is smaller than the sum of its proper divisors (175200400800).

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

60612631200 is a wasteful number, since it uses less digits than its factorization.

60612631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 60612631200 in words is "sixty billion, six hundred twelve million, six hundred thirty-one thousand, two hundred".