67725462960 has 320 divisors, whose sum is σ = 242354488320. Its totient is φ = 17369856000.

The previous prime is 67725462907. The next prime is 67725462967. The reversal of 67725462960 is 6926452776.

67725462960 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 5 + 4 + 629 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 67725462897 and 67725462906.

It is not an unprimeable number, because it can be changed into a prime (67725462967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6282375 + ... + 6293145.

It is an arithmetic number, because the mean of its divisors is an integer number (757357776).

Almost surely, 2^67725462960 is an apocalyptic number.

67725462960 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 67725462960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121177244160).

67725462960 is an abundant number, since it is smaller than the sum of its proper divisors (174629025360).

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

67725462960 is a wasteful number, since it uses less digits than its factorization.

67725462960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 67725462960 in words is "sixty-seven billion, seven hundred twenty-five million, four hundred sixty-two thousand, nine hundred sixty".