60461616600 has 288 divisors, whose sum is σ = 253154154240. Its totient is φ = 12563424000.

The previous prime is 60461616587. The next prime is 60461616629. The reversal of 60461616600 is 661616406.

60461616600 is a `hidden beast` number, since 6 + 0 + 46 + 1 + 6 + 1 + 6 + 600 = 666.

60461616600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79516 + ... + 356715.

It is an arithmetic number, because the mean of its divisors is an integer number (879007480).

Almost surely, 2^60461616600 is an apocalyptic number.

60461616600 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 60461616600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126577077120).

60461616600 is an abundant number, since it is smaller than the sum of its proper divisors (192692537640).

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

60461616600 is a wasteful number, since it uses less digits than its factorization.

60461616600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436271 (or 436259 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 60461616600 in words is "sixty billion, four hundred sixty-one million, six hundred sixteen thousand, six hundred".