60607461600 has 1728 divisors, whose sum is σ = 283956825600. Its totient is φ = 12182814720.

The previous prime is 60607461599. The next prime is 60607461631. The reversal of 60607461600 is 616470606.

60607461600 is a `hidden beast` number, since 6 + 0 + 6 + 0 + 7 + 46 + 1 + 600 = 666.

60607461600 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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 830239164 + ... + 830239236.

Almost surely, 2^60607461600 is an apocalyptic number.

60607461600 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 60607461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141978412800).

60607461600 is an abundant number, since it is smaller than the sum of its proper divisors (223349364000).

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

60607461600 is a wasteful number, since it uses less digits than its factorization.

60607461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 60607461600 in words is "sixty billion, six hundred seven million, four hundred sixty-one thousand, six hundred".