60804656640000 has 3120 divisors, whose sum is σ = 282201219078240. Its totient is φ = 12819824640000.

The previous prime is 60804656639959. The next prime is 60804656640031. The reversal of 60804656640000 is 4665640806.

60804656640000 is a `hidden beast` number, since 6 + 0 + 8 + 0 + 46 + 566 + 40 + 0 + 0 + 0 = 666.

60804656640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44029439310 + ... + 44029440690.

Almost surely, 2^{60804656640000} is an apocalyptic number.

60804656640000 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 60804656640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141100609539120).

60804656640000 is an abundant number, since it is smaller than the sum of its proper divisors (221396562438240).

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

60804656640000 is a wasteful number, since it uses less digits than its factorization.

60804656640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 60804656640000 in words is "sixty trillion, eight hundred four billion, six hundred fifty-six million, six hundred forty thousand".