60817865472000 has 4608 divisors, whose sum is σ = 296894916864000. Its totient is φ = 12139816550400.

The previous prime is 60817865471977. The next prime is 60817865472011. The reversal of 60817865472000 is 27456871806.

60817865472000 is a `hidden beast` number, since 6 + 0 + 8 + 1 + 78 + 6 + 547 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83655935637 + ... + 83655936363.

It is an arithmetic number, because the mean of its divisors is an integer number (64430320500).

Almost surely, 2^{60817865472000} is an apocalyptic number.

60817865472000 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 60817865472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148447458432000).

60817865472000 is an abundant number, since it is smaller than the sum of its proper divisors (236077051392000).

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

60817865472000 is a wasteful number, since it uses less digits than its factorization.

60817865472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 60817865472000 in words is "sixty trillion, eight hundred seventeen billion, eight hundred sixty-five million, four hundred seventy-two thousand".