60813072000 has 1024 divisors, whose sum is σ = 244408320000. Its totient is φ = 14805504000.

The previous prime is 60813071999. The next prime is 60813072041. The reversal of 60813072000 is 27031806.

60813072000 is a `hidden beast` number, since 608 + 1 + 30 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 254447881 + ... + 254448119.

It is an arithmetic number, because the mean of its divisors is an integer number (238680000).

Almost surely, 2^60813072000 is an apocalyptic number.

60813072000 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 60813072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122204160000).

60813072000 is an abundant number, since it is smaller than the sum of its proper divisors (183595248000).

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

60813072000 is a wasteful number, since it uses less digits than its factorization.

60813072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 60813072000 in words is "sixty billion, eight hundred thirteen million, seventy-two thousand".