68489074668672 has 1344 divisors, whose sum is σ = 247510050762240. Its totient is φ = 18793514557440.

The previous prime is 68489074668667. The next prime is 68489074668731. The reversal of 68489074668672 is 27686647098486.

68489074668672 is a `hidden beast` number, since 6 + 8 + 4 + 8 + 9 + 0 + 7 + 466 + 86 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 68489074668591 and 68489074668600.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19418505373 + ... + 19418508899.

It is an arithmetic number, because the mean of its divisors is an integer number (184159263960).

Almost surely, 2^{68489074668672} is an apocalyptic number.

68489074668672 is a gapful number since it is divisible by the number (62) 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 68489074668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123755025381120).

68489074668672 is an abundant number, since it is smaller than the sum of its proper divisors (179020976093568).

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

68489074668672 is a wasteful number, since it uses less digits than its factorization.

68489074668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 9364045824, while the sum is 81.

The spelling of 68489074668672 in words is "sixty-eight trillion, four hundred eighty-nine billion, seventy-four million, six hundred sixty-eight thousand, six hundred seventy-two".